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Finding the Third Proportional to 331,627 and 710,564

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Solution

The third proportional to 331,627 and 710,564 is: 1,522,497.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,627 : 710,564 = 710,564 : x
  2. Step 2: Convert to fraction form
    331,627/710,564 = 710,564/x
  3. Step 3: Cross multiply
    331,627x = 710,564 × 710,564
  4. Step 4: Simplify right side
    331,627x = 504,901,198,096
  5. Step 5: Solve for x
    x = 504,901,198,096/331,627
  6. Step 6: Final answer
    x = 1,522,497.26

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.