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Finding the Third Proportional to 363,179.50 and 428,790

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Solution

The third proportional to 363,179.50 and 428,790 is: 506,253.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,179.50 : 428,790 = 428,790 : x
  2. Step 2: Convert to fraction form
    363,179.50/428,790 = 428,790/x
  3. Step 3: Cross multiply
    363,179.50x = 428,790 × 428,790
  4. Step 4: Simplify right side
    363,179.50x = 183,860,864,100
  5. Step 5: Solve for x
    x = 183,860,864,100/363,179.50
  6. Step 6: Final answer
    x = 506,253.42

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These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.