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Finding the Third Proportional to 232,998.50 and 499,981

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Solution

The third proportional to 232,998.50 and 499,981 is: 1,072,886.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,998.50 : 499,981 = 499,981 : x
  2. Step 2: Convert to fraction form
    232,998.50/499,981 = 499,981/x
  3. Step 3: Cross multiply
    232,998.50x = 499,981 × 499,981
  4. Step 4: Simplify right side
    232,998.50x = 249,981,000,361
  5. Step 5: Solve for x
    x = 249,981,000,361/232,998.50
  6. Step 6: Final answer
    x = 1,072,886.74

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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.