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Finding the Third Proportional to 313,872 and 471,510

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Solution

The third proportional to 313,872 and 471,510 is: 708,319.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,872 : 471,510 = 471,510 : x
  2. Step 2: Convert to fraction form
    313,872/471,510 = 471,510/x
  3. Step 3: Cross multiply
    313,872x = 471,510 × 471,510
  4. Step 4: Simplify right side
    313,872x = 222,321,680,100
  5. Step 5: Solve for x
    x = 222,321,680,100/313,872
  6. Step 6: Final answer
    x = 708,319.57

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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.