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Finding the Third Proportional to 514,491.75 and 576,001.13

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Solution

The third proportional to 514,491.75 and 576,001.13 is: 644,864.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,491.75 : 576,001.13 = 576,001.13 : x
  2. Step 2: Convert to fraction form
    514,491.75/576,001.13 = 576,001.13/x
  3. Step 3: Cross multiply
    514,491.75x = 576,001.13 × 576,001.13
  4. Step 4: Simplify right side
    514,491.75x = 331,777,296,001.27
  5. Step 5: Solve for x
    x = 331,777,296,001.27/514,491.75
  6. Step 6: Final answer
    x = 644,864.17

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.