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Finding the Third Proportional to 313,638 and 471,166

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Solution

The third proportional to 313,638 and 471,166 is: 707,814.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,638 : 471,166 = 471,166 : x
  2. Step 2: Convert to fraction form
    313,638/471,166 = 471,166/x
  3. Step 3: Cross multiply
    313,638x = 471,166 × 471,166
  4. Step 4: Simplify right side
    313,638x = 221,997,399,556
  5. Step 5: Solve for x
    x = 221,997,399,556/313,638
  6. Step 6: Final answer
    x = 707,814.10

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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.