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Finding the Third Proportional to 216,217 and 471,801

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Solution

The third proportional to 216,217 and 471,801 is: 1,029,503.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,217 : 471,801 = 471,801 : x
  2. Step 2: Convert to fraction form
    216,217/471,801 = 471,801/x
  3. Step 3: Cross multiply
    216,217x = 471,801 × 471,801
  4. Step 4: Simplify right side
    216,217x = 222,596,183,601
  5. Step 5: Solve for x
    x = 222,596,183,601/216,217
  6. Step 6: Final answer
    x = 1,029,503.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.