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Finding the Third Proportional to 224,758 and 511,872

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Solution

The third proportional to 224,758 and 511,872 is: 1,165,755.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,758 : 511,872 = 511,872 : x
  2. Step 2: Convert to fraction form
    224,758/511,872 = 511,872/x
  3. Step 3: Cross multiply
    224,758x = 511,872 × 511,872
  4. Step 4: Simplify right side
    224,758x = 262,012,944,384
  5. Step 5: Solve for x
    x = 262,012,944,384/224,758
  6. Step 6: Final answer
    x = 1,165,755.81

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.