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Finding the Third Proportional to 677,001.75 and 991,197.75

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Solution

The third proportional to 677,001.75 and 991,197.75 is: 1,451,211.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,001.75 : 991,197.75 = 991,197.75 : x
  2. Step 2: Convert to fraction form
    677,001.75/991,197.75 = 991,197.75/x
  3. Step 3: Cross multiply
    677,001.75x = 991,197.75 × 991,197.75
  4. Step 4: Simplify right side
    677,001.75x = 982,472,979,605.06
  5. Step 5: Solve for x
    x = 982,472,979,605.06/677,001.75
  6. Step 6: Final answer
    x = 1,451,211.88

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.