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Finding the Third Proportional to 218,338 and 473,540

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Solution

The third proportional to 218,338 and 473,540 is: 1,027,032.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,338 : 473,540 = 473,540 : x
  2. Step 2: Convert to fraction form
    218,338/473,540 = 473,540/x
  3. Step 3: Cross multiply
    218,338x = 473,540 × 473,540
  4. Step 4: Simplify right side
    218,338x = 224,240,131,600
  5. Step 5: Solve for x
    x = 224,240,131,600/218,338
  6. Step 6: Final answer
    x = 1,027,032.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.