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Finding the Third Proportional to 216,125 and 474,286

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Solution

The third proportional to 216,125 and 474,286 is: 1,040,819.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,125 : 474,286 = 474,286 : x
  2. Step 2: Convert to fraction form
    216,125/474,286 = 474,286/x
  3. Step 3: Cross multiply
    216,125x = 474,286 × 474,286
  4. Step 4: Simplify right side
    216,125x = 224,947,209,796
  5. Step 5: Solve for x
    x = 224,947,209,796/216,125
  6. Step 6: Final answer
    x = 1,040,819.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.