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Finding the Third Proportional to 401,441.50 and 587,089

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Solution

The third proportional to 401,441.50 and 587,089 is: 858,589.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,441.50 : 587,089 = 587,089 : x
  2. Step 2: Convert to fraction form
    401,441.50/587,089 = 587,089/x
  3. Step 3: Cross multiply
    401,441.50x = 587,089 × 587,089
  4. Step 4: Simplify right side
    401,441.50x = 344,673,493,921
  5. Step 5: Solve for x
    x = 344,673,493,921/401,441.50
  6. Step 6: Final answer
    x = 858,589.59

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Why These Related Problems?

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