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Finding the Third Proportional to 515,952 and 781,719

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Solution

The third proportional to 515,952 and 781,719 is: 1,184,382.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,952 : 781,719 = 781,719 : x
  2. Step 2: Convert to fraction form
    515,952/781,719 = 781,719/x
  3. Step 3: Cross multiply
    515,952x = 781,719 × 781,719
  4. Step 4: Simplify right side
    515,952x = 611,084,594,961
  5. Step 5: Solve for x
    x = 611,084,594,961/515,952
  6. Step 6: Final answer
    x = 1,184,382.65

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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.