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Finding the Third Proportional to 313,112 and 471,108

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Solution

The third proportional to 313,112 and 471,108 is: 708,828.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,112 : 471,108 = 471,108 : x
  2. Step 2: Convert to fraction form
    313,112/471,108 = 471,108/x
  3. Step 3: Cross multiply
    313,112x = 471,108 × 471,108
  4. Step 4: Simplify right side
    313,112x = 221,942,747,664
  5. Step 5: Solve for x
    x = 221,942,747,664/313,112
  6. Step 6: Final answer
    x = 708,828.62

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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.