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Finding the Third Proportional to 366,338 and 781,062

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Solution

The third proportional to 366,338 and 781,062 is: 1,665,286.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,338 : 781,062 = 781,062 : x
  2. Step 2: Convert to fraction form
    366,338/781,062 = 781,062/x
  3. Step 3: Cross multiply
    366,338x = 781,062 × 781,062
  4. Step 4: Simplify right side
    366,338x = 610,057,847,844
  5. Step 5: Solve for x
    x = 610,057,847,844/366,338
  6. Step 6: Final answer
    x = 1,665,286.83

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.