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Finding the Third Proportional to 287,003.25 and 597,610.41

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Solution

The third proportional to 287,003.25 and 597,610.41 is: 1,244,369.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,003.25 : 597,610.41 = 597,610.41 : x
  2. Step 2: Convert to fraction form
    287,003.25/597,610.41 = 597,610.41/x
  3. Step 3: Cross multiply
    287,003.25x = 597,610.41 × 597,610.41
  4. Step 4: Simplify right side
    287,003.25x = 357,138,197,658.29
  5. Step 5: Solve for x
    x = 357,138,197,658.29/287,003.25
  6. Step 6: Final answer
    x = 1,244,369.87

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.