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Finding the Third Proportional to 276,446.25 and 433,738.13

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Solution

The third proportional to 276,446.25 and 433,738.13 is: 680,525.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,446.25 : 433,738.13 = 433,738.13 : x
  2. Step 2: Convert to fraction form
    276,446.25/433,738.13 = 433,738.13/x
  3. Step 3: Cross multiply
    276,446.25x = 433,738.13 × 433,738.13
  4. Step 4: Simplify right side
    276,446.25x = 188,128,761,078.52
  5. Step 5: Solve for x
    x = 188,128,761,078.52/276,446.25
  6. Step 6: Final answer
    x = 680,525.64

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.