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Finding the Third Proportional to 220,934 and 461,548

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Solution

The third proportional to 220,934 and 461,548 is: 964,209.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,934 : 461,548 = 461,548 : x
  2. Step 2: Convert to fraction form
    220,934/461,548 = 461,548/x
  3. Step 3: Cross multiply
    220,934x = 461,548 × 461,548
  4. Step 4: Simplify right side
    220,934x = 213,026,556,304
  5. Step 5: Solve for x
    x = 213,026,556,304/220,934
  6. Step 6: Final answer
    x = 964,209.02

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.