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Finding the Third Proportional to 267,582.75 and 415,213.88

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Solution

The third proportional to 267,582.75 and 415,213.88 is: 644,296.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,582.75 : 415,213.88 = 415,213.88 : x
  2. Step 2: Convert to fraction form
    267,582.75/415,213.88 = 415,213.88/x
  3. Step 3: Cross multiply
    267,582.75x = 415,213.88 × 415,213.88
  4. Step 4: Simplify right side
    267,582.75x = 172,402,561,992.52
  5. Step 5: Solve for x
    x = 172,402,561,992.52/267,582.75
  6. Step 6: Final answer
    x = 644,296.25

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Why These Related Problems?

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