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Finding the Third Proportional to 363,537 and 773,730

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Solution

The third proportional to 363,537 and 773,730 is: 1,646,759.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,537 : 773,730 = 773,730 : x
  2. Step 2: Convert to fraction form
    363,537/773,730 = 773,730/x
  3. Step 3: Cross multiply
    363,537x = 773,730 × 773,730
  4. Step 4: Simplify right side
    363,537x = 598,658,112,900
  5. Step 5: Solve for x
    x = 598,658,112,900/363,537
  6. Step 6: Final answer
    x = 1,646,759.79

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.