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Finding the Third Proportional to 267,979.13 and 588,463.13

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Solution

The third proportional to 267,979.13 and 588,463.13 is: 1,292,223.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,979.13 : 588,463.13 = 588,463.13 : x
  2. Step 2: Convert to fraction form
    267,979.13/588,463.13 = 588,463.13/x
  3. Step 3: Cross multiply
    267,979.13x = 588,463.13 × 588,463.13
  4. Step 4: Simplify right side
    267,979.13x = 346,288,849,484.77
  5. Step 5: Solve for x
    x = 346,288,849,484.77/267,979.13
  6. Step 6: Final answer
    x = 1,292,223.23

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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.