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Finding the Third Proportional to 224,988 and 475,274

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Solution

The third proportional to 224,988 and 475,274 is: 1,003,988.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,988 : 475,274 = 475,274 : x
  2. Step 2: Convert to fraction form
    224,988/475,274 = 475,274/x
  3. Step 3: Cross multiply
    224,988x = 475,274 × 475,274
  4. Step 4: Simplify right side
    224,988x = 225,885,375,076
  5. Step 5: Solve for x
    x = 225,885,375,076/224,988
  6. Step 6: Final answer
    x = 1,003,988.55

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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.