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Finding the Third Proportional to 276,027.75 and 418,182.75

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Solution

The third proportional to 276,027.75 and 418,182.75 is: 633,547.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,027.75 : 418,182.75 = 418,182.75 : x
  2. Step 2: Convert to fraction form
    276,027.75/418,182.75 = 418,182.75/x
  3. Step 3: Cross multiply
    276,027.75x = 418,182.75 × 418,182.75
  4. Step 4: Simplify right side
    276,027.75x = 174,876,812,397.56
  5. Step 5: Solve for x
    x = 174,876,812,397.56/276,027.75
  6. Step 6: Final answer
    x = 633,547.94

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.