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Finding the Third Proportional to 677,899.13 and 929,562.75

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Solution

The third proportional to 677,899.13 and 929,562.75 is: 1,274,654.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,899.13 : 929,562.75 = 929,562.75 : x
  2. Step 2: Convert to fraction form
    677,899.13/929,562.75 = 929,562.75/x
  3. Step 3: Cross multiply
    677,899.13x = 929,562.75 × 929,562.75
  4. Step 4: Simplify right side
    677,899.13x = 864,086,906,187.56
  5. Step 5: Solve for x
    x = 864,086,906,187.56/677,899.13
  6. Step 6: Final answer
    x = 1,274,654.11

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.