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Finding the Third Proportional to 313,596 and 471,108

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Solution

The third proportional to 313,596 and 471,108 is: 707,734.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,596 : 471,108 = 471,108 : x
  2. Step 2: Convert to fraction form
    313,596/471,108 = 471,108/x
  3. Step 3: Cross multiply
    313,596x = 471,108 × 471,108
  4. Step 4: Simplify right side
    313,596x = 221,942,747,664
  5. Step 5: Solve for x
    x = 221,942,747,664/313,596
  6. Step 6: Final answer
    x = 707,734.63

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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.