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Finding the Third Proportional to 341,418 and 491,791

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Solution

The third proportional to 341,418 and 491,791 is: 708,393.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,418 : 491,791 = 491,791 : x
  2. Step 2: Convert to fraction form
    341,418/491,791 = 491,791/x
  3. Step 3: Cross multiply
    341,418x = 491,791 × 491,791
  4. Step 4: Simplify right side
    341,418x = 241,858,387,681
  5. Step 5: Solve for x
    x = 241,858,387,681/341,418
  6. Step 6: Final answer
    x = 708,393.78

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.