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Finding the Third Proportional to 232,564.50 and 500,625

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Solution

The third proportional to 232,564.50 and 500,625 is: 1,077,659.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,564.50 : 500,625 = 500,625 : x
  2. Step 2: Convert to fraction form
    232,564.50/500,625 = 500,625/x
  3. Step 3: Cross multiply
    232,564.50x = 500,625 × 500,625
  4. Step 4: Simplify right side
    232,564.50x = 250,625,390,625
  5. Step 5: Solve for x
    x = 250,625,390,625/232,564.50
  6. Step 6: Final answer
    x = 1,077,659.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.