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Finding the Third Proportional to 317,406 and 661,116

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Solution

The third proportional to 317,406 and 661,116 is: 1,377,019.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,406 : 661,116 = 661,116 : x
  2. Step 2: Convert to fraction form
    317,406/661,116 = 661,116/x
  3. Step 3: Cross multiply
    317,406x = 661,116 × 661,116
  4. Step 4: Simplify right side
    317,406x = 437,074,365,456
  5. Step 5: Solve for x
    x = 437,074,365,456/317,406
  6. Step 6: Final answer
    x = 1,377,019.86

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.