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Finding the Third Proportional to 331,498 and 725,688

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Solution

The third proportional to 331,498 and 725,688 is: 1,588,616.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,498 : 725,688 = 725,688 : x
  2. Step 2: Convert to fraction form
    331,498/725,688 = 725,688/x
  3. Step 3: Cross multiply
    331,498x = 725,688 × 725,688
  4. Step 4: Simplify right side
    331,498x = 526,623,073,344
  5. Step 5: Solve for x
    x = 526,623,073,344/331,498
  6. Step 6: Final answer
    x = 1,588,616.14

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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.