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Finding the Third Proportional to 363,418 and 541,575.50

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Solution

The third proportional to 363,418 and 541,575.50 is: 807,070.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,418 : 541,575.50 = 541,575.50 : x
  2. Step 2: Convert to fraction form
    363,418/541,575.50 = 541,575.50/x
  3. Step 3: Cross multiply
    363,418x = 541,575.50 × 541,575.50
  4. Step 4: Simplify right side
    363,418x = 293,304,022,200.25
  5. Step 5: Solve for x
    x = 293,304,022,200.25/363,418
  6. Step 6: Final answer
    x = 807,070.71

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.