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Finding the Third Proportional to 231,750 and 501,408

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Solution

The third proportional to 231,750 and 501,408 is: 1,084,832.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,750 : 501,408 = 501,408 : x
  2. Step 2: Convert to fraction form
    231,750/501,408 = 501,408/x
  3. Step 3: Cross multiply
    231,750x = 501,408 × 501,408
  4. Step 4: Simplify right side
    231,750x = 251,409,982,464
  5. Step 5: Solve for x
    x = 251,409,982,464/231,750
  6. Step 6: Final answer
    x = 1,084,832.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.