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Finding the Third Proportional to 361,812 and 763,758

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Solution

The third proportional to 361,812 and 763,758 is: 1,612,235.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,812 : 763,758 = 763,758 : x
  2. Step 2: Convert to fraction form
    361,812/763,758 = 763,758/x
  3. Step 3: Cross multiply
    361,812x = 763,758 × 763,758
  4. Step 4: Simplify right side
    361,812x = 583,326,282,564
  5. Step 5: Solve for x
    x = 583,326,282,564/361,812
  6. Step 6: Final answer
    x = 1,612,235.86

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.