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Finding the Third Proportional to 401,750 and 588,249

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Solution

The third proportional to 401,750 and 588,249 is: 861,323.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,750 : 588,249 = 588,249 : x
  2. Step 2: Convert to fraction form
    401,750/588,249 = 588,249/x
  3. Step 3: Cross multiply
    401,750x = 588,249 × 588,249
  4. Step 4: Simplify right side
    401,750x = 346,036,886,001
  5. Step 5: Solve for x
    x = 346,036,886,001/401,750
  6. Step 6: Final answer
    x = 861,323.92

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.