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Finding the Third Proportional to 276,578.72 and 427,151.02

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Solution

The third proportional to 276,578.72 and 427,151.02 is: 659,696.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,578.72 : 427,151.02 = 427,151.02 : x
  2. Step 2: Convert to fraction form
    276,578.72/427,151.02 = 427,151.02/x
  3. Step 3: Cross multiply
    276,578.72x = 427,151.02 × 427,151.02
  4. Step 4: Simplify right side
    276,578.72x = 182,457,990,149.47
  5. Step 5: Solve for x
    x = 182,457,990,149.47/276,578.72
  6. Step 6: Final answer
    x = 659,696.42

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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.