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Finding the Third Proportional to 230,044.50 and 500,589

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Solution

The third proportional to 230,044.50 and 500,589 is: 1,089,308.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,044.50 : 500,589 = 500,589 : x
  2. Step 2: Convert to fraction form
    230,044.50/500,589 = 500,589/x
  3. Step 3: Cross multiply
    230,044.50x = 500,589 × 500,589
  4. Step 4: Simplify right side
    230,044.50x = 250,589,346,921
  5. Step 5: Solve for x
    x = 250,589,346,921/230,044.50
  6. Step 6: Final answer
    x = 1,089,308.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.