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Finding the Third Proportional to 225,540 and 486,338

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Solution

The third proportional to 225,540 and 486,338 is: 1,048,703.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,540 : 486,338 = 486,338 : x
  2. Step 2: Convert to fraction form
    225,540/486,338 = 486,338/x
  3. Step 3: Cross multiply
    225,540x = 486,338 × 486,338
  4. Step 4: Simplify right side
    225,540x = 236,524,650,244
  5. Step 5: Solve for x
    x = 236,524,650,244/225,540
  6. Step 6: Final answer
    x = 1,048,703.78

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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.