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Finding the Third Proportional to 498,211,639.50 and 1,070,359,489.50

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Solution

The third proportional to 498,211,639.50 and 1,070,359,489.50 is: 2,299,563,771.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,211,639.50 : 1,070,359,489.50 = 1,070,359,489.50 : x
  2. Step 2: Convert to fraction form
    498,211,639.50/1,070,359,489.50 = 1,070,359,489.50/x
  3. Step 3: Cross multiply
    498,211,639.50x = 1,070,359,489.50 × 1,070,359,489.50
  4. Step 4: Simplify right side
    498,211,639.50x = 1,145,669,436,762,700,672
  5. Step 5: Solve for x
    x = 1,145,669,436,762,700,672/498,211,639.50
  6. Step 6: Final answer
    x = 2,299,563,771.56

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.