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Finding the Third Proportional to 267,636.66 and 588,502.97

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Solution

The third proportional to 267,636.66 and 588,502.97 is: 1,294,051.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,636.66 : 588,502.97 = 588,502.97 : x
  2. Step 2: Convert to fraction form
    267,636.66/588,502.97 = 588,502.97/x
  3. Step 3: Cross multiply
    267,636.66x = 588,502.97 × 588,502.97
  4. Step 4: Simplify right side
    267,636.66x = 346,335,744,227.56
  5. Step 5: Solve for x
    x = 346,335,744,227.56/267,636.66
  6. Step 6: Final answer
    x = 1,294,051.98

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.