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Finding the Third Proportional to 224,082 and 472,644

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Solution

The third proportional to 224,082 and 472,644 is: 996,922.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,082 : 472,644 = 472,644 : x
  2. Step 2: Convert to fraction form
    224,082/472,644 = 472,644/x
  3. Step 3: Cross multiply
    224,082x = 472,644 × 472,644
  4. Step 4: Simplify right side
    224,082x = 223,392,350,736
  5. Step 5: Solve for x
    x = 223,392,350,736/224,082
  6. Step 6: Final answer
    x = 996,922.34

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.