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Finding the Third Proportional to 317,743 and 661,622

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Solution

The third proportional to 317,743 and 661,622 is: 1,377,665.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,743 : 661,622 = 661,622 : x
  2. Step 2: Convert to fraction form
    317,743/661,622 = 661,622/x
  3. Step 3: Cross multiply
    317,743x = 661,622 × 661,622
  4. Step 4: Simplify right side
    317,743x = 437,743,670,884
  5. Step 5: Solve for x
    x = 437,743,670,884/317,743
  6. Step 6: Final answer
    x = 1,377,665.82

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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.