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Finding the Third Proportional to 324,874,105.50 and 709,280,658

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Solution

The third proportional to 324,874,105.50 and 709,280,658 is: 1,548,535,396.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,874,105.50 : 709,280,658 = 709,280,658 : x
  2. Step 2: Convert to fraction form
    324,874,105.50/709,280,658 = 709,280,658/x
  3. Step 3: Cross multiply
    324,874,105.50x = 709,280,658 × 709,280,658
  4. Step 4: Simplify right side
    324,874,105.50x = 503,079,051,812,912,960
  5. Step 5: Solve for x
    x = 503,079,051,812,912,960/324,874,105.50
  6. Step 6: Final answer
    x = 1,548,535,396.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.