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Finding the Third Proportional to 313,605 and 471,114

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Solution

The third proportional to 313,605 and 471,114 is: 707,732.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,605 : 471,114 = 471,114 : x
  2. Step 2: Convert to fraction form
    313,605/471,114 = 471,114/x
  3. Step 3: Cross multiply
    313,605x = 471,114 × 471,114
  4. Step 4: Simplify right side
    313,605x = 221,948,400,996
  5. Step 5: Solve for x
    x = 221,948,400,996/313,605
  6. Step 6: Final answer
    x = 707,732.34

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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.