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Finding the Third Proportional to 313,750 and 471,341

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Solution

The third proportional to 313,750 and 471,341 is: 708,087.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,750 : 471,341 = 471,341 : x
  2. Step 2: Convert to fraction form
    313,750/471,341 = 471,341/x
  3. Step 3: Cross multiply
    313,750x = 471,341 × 471,341
  4. Step 4: Simplify right side
    313,750x = 222,162,338,281
  5. Step 5: Solve for x
    x = 222,162,338,281/313,750
  6. Step 6: Final answer
    x = 708,087.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.