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Finding the Third Proportional to 224,760 and 511,878

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Solution

The third proportional to 224,760 and 511,878 is: 1,165,772.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,760 : 511,878 = 511,878 : x
  2. Step 2: Convert to fraction form
    224,760/511,878 = 511,878/x
  3. Step 3: Cross multiply
    224,760x = 511,878 × 511,878
  4. Step 4: Simplify right side
    224,760x = 262,019,086,884
  5. Step 5: Solve for x
    x = 262,019,086,884/224,760
  6. Step 6: Final answer
    x = 1,165,772.77

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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.