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Finding the Third Proportional to 331,230 and 725,546

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Solution

The third proportional to 331,230 and 725,546 is: 1,589,279.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,230 : 725,546 = 725,546 : x
  2. Step 2: Convert to fraction form
    331,230/725,546 = 725,546/x
  3. Step 3: Cross multiply
    331,230x = 725,546 × 725,546
  4. Step 4: Simplify right side
    331,230x = 526,416,998,116
  5. Step 5: Solve for x
    x = 526,416,998,116/331,230
  6. Step 6: Final answer
    x = 1,589,279.35

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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.