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Finding the Third Proportional to 367,482 and 498,725

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Solution

The third proportional to 367,482 and 498,725 is: 676,840.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,482 : 498,725 = 498,725 : x
  2. Step 2: Convert to fraction form
    367,482/498,725 = 498,725/x
  3. Step 3: Cross multiply
    367,482x = 498,725 × 498,725
  4. Step 4: Simplify right side
    367,482x = 248,726,625,625
  5. Step 5: Solve for x
    x = 248,726,625,625/367,482
  6. Step 6: Final answer
    x = 676,840.30

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.