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Finding the Third Proportional to 224,759 and 511,875

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Solution

The third proportional to 224,759 and 511,875 is: 1,165,764.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,759 : 511,875 = 511,875 : x
  2. Step 2: Convert to fraction form
    224,759/511,875 = 511,875/x
  3. Step 3: Cross multiply
    224,759x = 511,875 × 511,875
  4. Step 4: Simplify right side
    224,759x = 262,016,015,625
  5. Step 5: Solve for x
    x = 262,016,015,625/224,759
  6. Step 6: Final answer
    x = 1,165,764.29

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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.