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Finding the Third Proportional to 225,375 and 486,301

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Solution

The third proportional to 225,375 and 486,301 is: 1,049,311.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,375 : 486,301 = 486,301 : x
  2. Step 2: Convert to fraction form
    225,375/486,301 = 486,301/x
  3. Step 3: Cross multiply
    225,375x = 486,301 × 486,301
  4. Step 4: Simplify right side
    225,375x = 236,488,662,601
  5. Step 5: Solve for x
    x = 236,488,662,601/225,375
  6. Step 6: Final answer
    x = 1,049,311.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.