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Finding the Third Proportional to 331,646 and 725,500

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Solution

The third proportional to 331,646 and 725,500 is: 1,587,084.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,646 : 725,500 = 725,500 : x
  2. Step 2: Convert to fraction form
    331,646/725,500 = 725,500/x
  3. Step 3: Cross multiply
    331,646x = 725,500 × 725,500
  4. Step 4: Simplify right side
    331,646x = 526,350,250,000
  5. Step 5: Solve for x
    x = 526,350,250,000/331,646
  6. Step 6: Final answer
    x = 1,587,084.57

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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.