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Finding the Third Proportional to 363,542 and 773,740

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Solution

The third proportional to 363,542 and 773,740 is: 1,646,779.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,542 : 773,740 = 773,740 : x
  2. Step 2: Convert to fraction form
    363,542/773,740 = 773,740/x
  3. Step 3: Cross multiply
    363,542x = 773,740 × 773,740
  4. Step 4: Simplify right side
    363,542x = 598,673,587,600
  5. Step 5: Solve for x
    x = 598,673,587,600/363,542
  6. Step 6: Final answer
    x = 1,646,779.71

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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.