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Finding the Third Proportional to 213,584 and 469,801

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Solution

The third proportional to 213,584 and 469,801 is: 1,033,377.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,584 : 469,801 = 469,801 : x
  2. Step 2: Convert to fraction form
    213,584/469,801 = 469,801/x
  3. Step 3: Cross multiply
    213,584x = 469,801 × 469,801
  4. Step 4: Simplify right side
    213,584x = 220,712,979,601
  5. Step 5: Solve for x
    x = 220,712,979,601/213,584
  6. Step 6: Final answer
    x = 1,033,377.87

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.