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Finding the Third Proportional to 292,418 and 437,475

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Solution

The third proportional to 292,418 and 437,475 is: 654,489.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,418 : 437,475 = 437,475 : x
  2. Step 2: Convert to fraction form
    292,418/437,475 = 437,475/x
  3. Step 3: Cross multiply
    292,418x = 437,475 × 437,475
  4. Step 4: Simplify right side
    292,418x = 191,384,375,625
  5. Step 5: Solve for x
    x = 191,384,375,625/292,418
  6. Step 6: Final answer
    x = 654,489.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.