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Finding the Third Proportional to 278,493.19 and 418,354.88

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Solution

The third proportional to 278,493.19 and 418,354.88 is: 628,456.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,493.19 : 418,354.88 = 418,354.88 : x
  2. Step 2: Convert to fraction form
    278,493.19/418,354.88 = 418,354.88/x
  3. Step 3: Cross multiply
    278,493.19x = 418,354.88 × 418,354.88
  4. Step 4: Simplify right side
    278,493.19x = 175,020,801,436.27
  5. Step 5: Solve for x
    x = 175,020,801,436.27/278,493.19
  6. Step 6: Final answer
    x = 628,456.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.