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Finding the Third Proportional to 224,762 and 511,882

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Solution

The third proportional to 224,762 and 511,882 is: 1,165,780.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,762 : 511,882 = 511,882 : x
  2. Step 2: Convert to fraction form
    224,762/511,882 = 511,882/x
  3. Step 3: Cross multiply
    224,762x = 511,882 × 511,882
  4. Step 4: Simplify right side
    224,762x = 262,023,181,924
  5. Step 5: Solve for x
    x = 262,023,181,924/224,762
  6. Step 6: Final answer
    x = 1,165,780.61

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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.