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Finding the Third Proportional to 273,618 and 587,979

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Solution

The third proportional to 273,618 and 587,979 is: 1,263,510.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,618 : 587,979 = 587,979 : x
  2. Step 2: Convert to fraction form
    273,618/587,979 = 587,979/x
  3. Step 3: Cross multiply
    273,618x = 587,979 × 587,979
  4. Step 4: Simplify right side
    273,618x = 345,719,304,441
  5. Step 5: Solve for x
    x = 345,719,304,441/273,618
  6. Step 6: Final answer
    x = 1,263,510.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.