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Finding the Third Proportional to 337,982,060 and 712,279,264

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Solution

The third proportional to 337,982,060 and 712,279,264 is: 1,501,090,767.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,982,060 : 712,279,264 = 712,279,264 : x
  2. Step 2: Convert to fraction form
    337,982,060/712,279,264 = 712,279,264/x
  3. Step 3: Cross multiply
    337,982,060x = 712,279,264 × 712,279,264
  4. Step 4: Simplify right side
    337,982,060x = 507,341,749,924,381,696
  5. Step 5: Solve for x
    x = 507,341,749,924,381,696/337,982,060
  6. Step 6: Final answer
    x = 1,501,090,767.73

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.