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Finding the Third Proportional to 207,829.13 and 446,737.88

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Solution

The third proportional to 207,829.13 and 446,737.88 is: 960,282.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,829.13 : 446,737.88 = 446,737.88 : x
  2. Step 2: Convert to fraction form
    207,829.13/446,737.88 = 446,737.88/x
  3. Step 3: Cross multiply
    207,829.13x = 446,737.88 × 446,737.88
  4. Step 4: Simplify right side
    207,829.13x = 199,574,728,959.52
  5. Step 5: Solve for x
    x = 199,574,728,959.52/207,829.13
  6. Step 6: Final answer
    x = 960,282.78

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