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Finding the Third Proportional to 240,831 and 375,035

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Solution

The third proportional to 240,831 and 375,035 is: 584,024.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,831 : 375,035 = 375,035 : x
  2. Step 2: Convert to fraction form
    240,831/375,035 = 375,035/x
  3. Step 3: Cross multiply
    240,831x = 375,035 × 375,035
  4. Step 4: Simplify right side
    240,831x = 140,651,251,225
  5. Step 5: Solve for x
    x = 140,651,251,225/240,831
  6. Step 6: Final answer
    x = 584,024.69

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.