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Finding the Third Proportional to 276,270.75 and 426,610.13

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Solution

The third proportional to 276,270.75 and 426,610.13 is: 658,760.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,270.75 : 426,610.13 = 426,610.13 : x
  2. Step 2: Convert to fraction form
    276,270.75/426,610.13 = 426,610.13/x
  3. Step 3: Cross multiply
    276,270.75x = 426,610.13 × 426,610.13
  4. Step 4: Simplify right side
    276,270.75x = 181,996,198,752.52
  5. Step 5: Solve for x
    x = 181,996,198,752.52/276,270.75
  6. Step 6: Final answer
    x = 658,760.29

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.