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Finding the Third Proportional to 516,057 and 781,872

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Solution

The third proportional to 516,057 and 781,872 is: 1,184,605.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,057 : 781,872 = 781,872 : x
  2. Step 2: Convert to fraction form
    516,057/781,872 = 781,872/x
  3. Step 3: Cross multiply
    516,057x = 781,872 × 781,872
  4. Step 4: Simplify right side
    516,057x = 611,323,824,384
  5. Step 5: Solve for x
    x = 611,323,824,384/516,057
  6. Step 6: Final answer
    x = 1,184,605.24

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.