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Finding the Third Proportional to 515,931 and 781,686

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Solution

The third proportional to 515,931 and 781,686 is: 1,184,330.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,931 : 781,686 = 781,686 : x
  2. Step 2: Convert to fraction form
    515,931/781,686 = 781,686/x
  3. Step 3: Cross multiply
    515,931x = 781,686 × 781,686
  4. Step 4: Simplify right side
    515,931x = 611,033,002,596
  5. Step 5: Solve for x
    x = 611,033,002,596/515,931
  6. Step 6: Final answer
    x = 1,184,330.86

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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.