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Finding the Third Proportional to 276,925.50 and 427,200.75

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Solution

The third proportional to 276,925.50 and 427,200.75 is: 659,023.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,925.50 : 427,200.75 = 427,200.75 : x
  2. Step 2: Convert to fraction form
    276,925.50/427,200.75 = 427,200.75/x
  3. Step 3: Cross multiply
    276,925.50x = 427,200.75 × 427,200.75
  4. Step 4: Simplify right side
    276,925.50x = 182,500,480,800.56
  5. Step 5: Solve for x
    x = 182,500,480,800.56/276,925.50
  6. Step 6: Final answer
    x = 659,023.75

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.