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Finding the Third Proportional to 361,314 and 763,317

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Solution

The third proportional to 361,314 and 763,317 is: 1,612,594.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,314 : 763,317 = 763,317 : x
  2. Step 2: Convert to fraction form
    361,314/763,317 = 763,317/x
  3. Step 3: Cross multiply
    361,314x = 763,317 × 763,317
  4. Step 4: Simplify right side
    361,314x = 582,652,842,489
  5. Step 5: Solve for x
    x = 582,652,842,489/361,314
  6. Step 6: Final answer
    x = 1,612,594.15

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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.