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Finding the Third Proportional to 267,585.75 and 415,218.75

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Solution

The third proportional to 267,585.75 and 415,218.75 is: 644,304.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,585.75 : 415,218.75 = 415,218.75 : x
  2. Step 2: Convert to fraction form
    267,585.75/415,218.75 = 415,218.75/x
  3. Step 3: Cross multiply
    267,585.75x = 415,218.75 × 415,218.75
  4. Step 4: Simplify right side
    267,585.75x = 172,406,610,351.56
  5. Step 5: Solve for x
    x = 172,406,610,351.56/267,585.75
  6. Step 6: Final answer
    x = 644,304.15

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.