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Finding the Third Proportional to 331,588 and 725,384

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Solution

The third proportional to 331,588 and 725,384 is: 1,586,854.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,588 : 725,384 = 725,384 : x
  2. Step 2: Convert to fraction form
    331,588/725,384 = 725,384/x
  3. Step 3: Cross multiply
    331,588x = 725,384 × 725,384
  4. Step 4: Simplify right side
    331,588x = 526,181,947,456
  5. Step 5: Solve for x
    x = 526,181,947,456/331,588
  6. Step 6: Final answer
    x = 1,586,854.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.