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Finding the Third Proportional to 324,251.50 and 517,995

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Solution

The third proportional to 324,251.50 and 517,995 is: 827,502.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,251.50 : 517,995 = 517,995 : x
  2. Step 2: Convert to fraction form
    324,251.50/517,995 = 517,995/x
  3. Step 3: Cross multiply
    324,251.50x = 517,995 × 517,995
  4. Step 4: Simplify right side
    324,251.50x = 268,318,820,025
  5. Step 5: Solve for x
    x = 268,318,820,025/324,251.50
  6. Step 6: Final answer
    x = 827,502.17

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.