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Finding the Third Proportional to 511,545.38 and 782,851.50

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Solution

The third proportional to 511,545.38 and 782,851.50 is: 1,198,049.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,545.38 : 782,851.50 = 782,851.50 : x
  2. Step 2: Convert to fraction form
    511,545.38/782,851.50 = 782,851.50/x
  3. Step 3: Cross multiply
    511,545.38x = 782,851.50 × 782,851.50
  4. Step 4: Simplify right side
    511,545.38x = 612,856,471,052.25
  5. Step 5: Solve for x
    x = 612,856,471,052.25/511,545.38
  6. Step 6: Final answer
    x = 1,198,049.09

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.