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Finding the Third Proportional to 267,048.50 and 415,890.75

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Solution

The third proportional to 267,048.50 and 415,890.75 is: 647,691.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,048.50 : 415,890.75 = 415,890.75 : x
  2. Step 2: Convert to fraction form
    267,048.50/415,890.75 = 415,890.75/x
  3. Step 3: Cross multiply
    267,048.50x = 415,890.75 × 415,890.75
  4. Step 4: Simplify right side
    267,048.50x = 172,965,115,935.56
  5. Step 5: Solve for x
    x = 172,965,115,935.56/267,048.50
  6. Step 6: Final answer
    x = 647,691.77

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.