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Finding the Third Proportional to 317,739 and 661,614

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Solution

The third proportional to 317,739 and 661,614 is: 1,377,649.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,739 : 661,614 = 661,614 : x
  2. Step 2: Convert to fraction form
    317,739/661,614 = 661,614/x
  3. Step 3: Cross multiply
    317,739x = 661,614 × 661,614
  4. Step 4: Simplify right side
    317,739x = 437,733,084,996
  5. Step 5: Solve for x
    x = 437,733,084,996/317,739
  6. Step 6: Final answer
    x = 1,377,649.85

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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.