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Finding the Third Proportional to 401,665.50 and 587,105.30

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Solution

The third proportional to 401,665.50 and 587,105.30 is: 858,158.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,665.50 : 587,105.30 = 587,105.30 : x
  2. Step 2: Convert to fraction form
    401,665.50/587,105.30 = 587,105.30/x
  3. Step 3: Cross multiply
    401,665.50x = 587,105.30 × 587,105.30
  4. Step 4: Simplify right side
    401,665.50x = 344,692,629,618.68
  5. Step 5: Solve for x
    x = 344,692,629,618.68/401,665.50
  6. Step 6: Final answer
    x = 858,158.42

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.