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Finding the Third Proportional to 292,422 and 437,481

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Solution

The third proportional to 292,422 and 437,481 is: 654,498.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,422 : 437,481 = 437,481 : x
  2. Step 2: Convert to fraction form
    292,422/437,481 = 437,481/x
  3. Step 3: Cross multiply
    292,422x = 437,481 × 437,481
  4. Step 4: Simplify right side
    292,422x = 191,389,625,361
  5. Step 5: Solve for x
    x = 191,389,625,361/292,422
  6. Step 6: Final answer
    x = 654,498.04

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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.