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Finding the Third Proportional to 313,625 and 471,144

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Solution

The third proportional to 313,625 and 471,144 is: 707,777.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,625 : 471,144 = 471,144 : x
  2. Step 2: Convert to fraction form
    313,625/471,144 = 471,144/x
  3. Step 3: Cross multiply
    313,625x = 471,144 × 471,144
  4. Step 4: Simplify right side
    313,625x = 221,976,668,736
  5. Step 5: Solve for x
    x = 221,976,668,736/313,625
  6. Step 6: Final answer
    x = 707,777.34

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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.