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Finding the Third Proportional to 221,313 and 474,180

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Solution

The third proportional to 221,313 and 474,180 is: 1,015,966.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,313 : 474,180 = 474,180 : x
  2. Step 2: Convert to fraction form
    221,313/474,180 = 474,180/x
  3. Step 3: Cross multiply
    221,313x = 474,180 × 474,180
  4. Step 4: Simplify right side
    221,313x = 224,846,672,400
  5. Step 5: Solve for x
    x = 224,846,672,400/221,313
  6. Step 6: Final answer
    x = 1,015,966.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.