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Finding the Third Proportional to 360,748,132 and 790,443,176

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Solution

The third proportional to 360,748,132 and 790,443,176 is: 1,731,957,449.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,748,132 : 790,443,176 = 790,443,176 : x
  2. Step 2: Convert to fraction form
    360,748,132/790,443,176 = 790,443,176/x
  3. Step 3: Cross multiply
    360,748,132x = 790,443,176 × 790,443,176
  4. Step 4: Simplify right side
    360,748,132x = 624,800,414,484,966,912
  5. Step 5: Solve for x
    x = 624,800,414,484,966,912/360,748,132
  6. Step 6: Final answer
    x = 1,731,957,449.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.