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Finding the Third Proportional to 361,539 and 763,710

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Solution

The third proportional to 361,539 and 763,710 is: 1,613,250.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,539 : 763,710 = 763,710 : x
  2. Step 2: Convert to fraction form
    361,539/763,710 = 763,710/x
  3. Step 3: Cross multiply
    361,539x = 763,710 × 763,710
  4. Step 4: Simplify right side
    361,539x = 583,252,964,100
  5. Step 5: Solve for x
    x = 583,252,964,100/361,539
  6. Step 6: Final answer
    x = 1,613,250.48

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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.