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Finding the Third Proportional to 418,522,434.50 and 653,214,088

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Solution

The third proportional to 418,522,434.50 and 653,214,088 is: 1,019,512,001.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,522,434.50 : 653,214,088 = 653,214,088 : x
  2. Step 2: Convert to fraction form
    418,522,434.50/653,214,088 = 653,214,088/x
  3. Step 3: Cross multiply
    418,522,434.50x = 653,214,088 × 653,214,088
  4. Step 4: Simplify right side
    418,522,434.50x = 426,688,644,761,671,744
  5. Step 5: Solve for x
    x = 426,688,644,761,671,744/418,522,434.50
  6. Step 6: Final answer
    x = 1,019,512,001.24

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.