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Finding the Third Proportional to 276,544.13 and 420,585.75

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Solution

The third proportional to 276,544.13 and 420,585.75 is: 639,653.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,544.13 : 420,585.75 = 420,585.75 : x
  2. Step 2: Convert to fraction form
    276,544.13/420,585.75 = 420,585.75/x
  3. Step 3: Cross multiply
    276,544.13x = 420,585.75 × 420,585.75
  4. Step 4: Simplify right side
    276,544.13x = 176,892,373,103.06
  5. Step 5: Solve for x
    x = 176,892,373,103.06/276,544.13
  6. Step 6: Final answer
    x = 639,653.34

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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.