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Finding the Third Proportional to 290,325 and 401,175.50

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Solution

The third proportional to 290,325 and 401,175.50 is: 554,350.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,325 : 401,175.50 = 401,175.50 : x
  2. Step 2: Convert to fraction form
    290,325/401,175.50 = 401,175.50/x
  3. Step 3: Cross multiply
    290,325x = 401,175.50 × 401,175.50
  4. Step 4: Simplify right side
    290,325x = 160,941,781,800.25
  5. Step 5: Solve for x
    x = 160,941,781,800.25/290,325
  6. Step 6: Final answer
    x = 554,350.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.