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Finding the Third Proportional to 392,418 and 607,503

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Solution

The third proportional to 392,418 and 607,503 is: 940,476.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,418 : 607,503 = 607,503 : x
  2. Step 2: Convert to fraction form
    392,418/607,503 = 607,503/x
  3. Step 3: Cross multiply
    392,418x = 607,503 × 607,503
  4. Step 4: Simplify right side
    392,418x = 369,059,895,009
  5. Step 5: Solve for x
    x = 369,059,895,009/392,418
  6. Step 6: Final answer
    x = 940,476.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.