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Finding the Third Proportional to 367,632 and 577,691

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Solution

The third proportional to 367,632 and 577,691 is: 907,774.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,632 : 577,691 = 577,691 : x
  2. Step 2: Convert to fraction form
    367,632/577,691 = 577,691/x
  3. Step 3: Cross multiply
    367,632x = 577,691 × 577,691
  4. Step 4: Simplify right side
    367,632x = 333,726,891,481
  5. Step 5: Solve for x
    x = 333,726,891,481/367,632
  6. Step 6: Final answer
    x = 907,774.33

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.