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Finding the Third Proportional to 313,614 and 471,126

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Solution

The third proportional to 313,614 and 471,126 is: 707,748.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,614 : 471,126 = 471,126 : x
  2. Step 2: Convert to fraction form
    313,614/471,126 = 471,126/x
  3. Step 3: Cross multiply
    313,614x = 471,126 × 471,126
  4. Step 4: Simplify right side
    313,614x = 221,959,707,876
  5. Step 5: Solve for x
    x = 221,959,707,876/313,614
  6. Step 6: Final answer
    x = 707,748.08

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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.