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Finding the Third Proportional to 228,961.50 and 497,331

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Solution

The third proportional to 228,961.50 and 497,331 is: 1,080,260.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,961.50 : 497,331 = 497,331 : x
  2. Step 2: Convert to fraction form
    228,961.50/497,331 = 497,331/x
  3. Step 3: Cross multiply
    228,961.50x = 497,331 × 497,331
  4. Step 4: Simplify right side
    228,961.50x = 247,338,123,561
  5. Step 5: Solve for x
    x = 247,338,123,561/228,961.50
  6. Step 6: Final answer
    x = 1,080,260.76

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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.