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Finding the Third Proportional to 341,398 and 491,762

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Solution

The third proportional to 341,398 and 491,762 is: 708,351.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,398 : 491,762 = 491,762 : x
  2. Step 2: Convert to fraction form
    341,398/491,762 = 491,762/x
  3. Step 3: Cross multiply
    341,398x = 491,762 × 491,762
  4. Step 4: Simplify right side
    341,398x = 241,829,864,644
  5. Step 5: Solve for x
    x = 241,829,864,644/341,398
  6. Step 6: Final answer
    x = 708,351.73

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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.