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Finding the Third Proportional to 235,569 and 517,791

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Solution

The third proportional to 235,569 and 517,791 is: 1,138,127.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,569 : 517,791 = 517,791 : x
  2. Step 2: Convert to fraction form
    235,569/517,791 = 517,791/x
  3. Step 3: Cross multiply
    235,569x = 517,791 × 517,791
  4. Step 4: Simplify right side
    235,569x = 268,107,519,681
  5. Step 5: Solve for x
    x = 268,107,519,681/235,569
  6. Step 6: Final answer
    x = 1,138,127.34

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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.