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Finding the Third Proportional to 427,899.38 and 666,385.52

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Solution

The third proportional to 427,899.38 and 666,385.52 is: 1,037,789.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,899.38 : 666,385.52 = 666,385.52 : x
  2. Step 2: Convert to fraction form
    427,899.38/666,385.52 = 666,385.52/x
  3. Step 3: Cross multiply
    427,899.38x = 666,385.52 × 666,385.52
  4. Step 4: Simplify right side
    427,899.38x = 444,069,665,847.07
  5. Step 5: Solve for x
    x = 444,069,665,847.07/427,899.38
  6. Step 6: Final answer
    x = 1,037,789.94

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.