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Finding the Third Proportional to 363,280 and 791,952

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Solution

The third proportional to 363,280 and 791,952 is: 1,726,458.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,280 : 791,952 = 791,952 : x
  2. Step 2: Convert to fraction form
    363,280/791,952 = 791,952/x
  3. Step 3: Cross multiply
    363,280x = 791,952 × 791,952
  4. Step 4: Simplify right side
    363,280x = 627,187,970,304
  5. Step 5: Solve for x
    x = 627,187,970,304/363,280
  6. Step 6: Final answer
    x = 1,726,458.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.