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Finding the Third Proportional to 232,997.50 and 499,979

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Solution

The third proportional to 232,997.50 and 499,979 is: 1,072,882.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,997.50 : 499,979 = 499,979 : x
  2. Step 2: Convert to fraction form
    232,997.50/499,979 = 499,979/x
  3. Step 3: Cross multiply
    232,997.50x = 499,979 × 499,979
  4. Step 4: Simplify right side
    232,997.50x = 249,979,000,441
  5. Step 5: Solve for x
    x = 249,979,000,441/232,997.50
  6. Step 6: Final answer
    x = 1,072,882.76

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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.