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Finding the Third Proportional to 232,618 and 511,113

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Solution

The third proportional to 232,618 and 511,113 is: 1,123,027.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,618 : 511,113 = 511,113 : x
  2. Step 2: Convert to fraction form
    232,618/511,113 = 511,113/x
  3. Step 3: Cross multiply
    232,618x = 511,113 × 511,113
  4. Step 4: Simplify right side
    232,618x = 261,236,498,769
  5. Step 5: Solve for x
    x = 261,236,498,769/232,618
  6. Step 6: Final answer
    x = 1,123,027.88

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.