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Finding the Third Proportional to 290,415.38 and 427,057.31

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Solution

The third proportional to 290,415.38 and 427,057.31 is: 627,989.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,415.38 : 427,057.31 = 427,057.31 : x
  2. Step 2: Convert to fraction form
    290,415.38/427,057.31 = 427,057.31/x
  3. Step 3: Cross multiply
    290,415.38x = 427,057.31 × 427,057.31
  4. Step 4: Simplify right side
    290,415.38x = 182,377,948,159.72
  5. Step 5: Solve for x
    x = 182,377,948,159.72/290,415.38
  6. Step 6: Final answer
    x = 627,989.99

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.