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Finding the Third Proportional to 294,606 and 632,812

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Solution

The third proportional to 294,606 and 632,812 is: 1,359,276.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,606 : 632,812 = 632,812 : x
  2. Step 2: Convert to fraction form
    294,606/632,812 = 632,812/x
  3. Step 3: Cross multiply
    294,606x = 632,812 × 632,812
  4. Step 4: Simplify right side
    294,606x = 400,451,027,344
  5. Step 5: Solve for x
    x = 400,451,027,344/294,606
  6. Step 6: Final answer
    x = 1,359,276.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.