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Finding the Third Proportional to 324,892 and 500,020

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Solution

The third proportional to 324,892 and 500,020 is: 769,548.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,892 : 500,020 = 500,020 : x
  2. Step 2: Convert to fraction form
    324,892/500,020 = 500,020/x
  3. Step 3: Cross multiply
    324,892x = 500,020 × 500,020
  4. Step 4: Simplify right side
    324,892x = 250,020,000,400
  5. Step 5: Solve for x
    x = 250,020,000,400/324,892
  6. Step 6: Final answer
    x = 769,548.04

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.