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Finding the Third Proportional to 228,958.50 and 497,325

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Solution

The third proportional to 228,958.50 and 497,325 is: 1,080,248.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,958.50 : 497,325 = 497,325 : x
  2. Step 2: Convert to fraction form
    228,958.50/497,325 = 497,325/x
  3. Step 3: Cross multiply
    228,958.50x = 497,325 × 497,325
  4. Step 4: Simplify right side
    228,958.50x = 247,332,155,625
  5. Step 5: Solve for x
    x = 247,332,155,625/228,958.50
  6. Step 6: Final answer
    x = 1,080,248.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.