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Finding the Third Proportional to 324,769.50 and 485,514

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Solution

The third proportional to 324,769.50 and 485,514 is: 725,818.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,769.50 : 485,514 = 485,514 : x
  2. Step 2: Convert to fraction form
    324,769.50/485,514 = 485,514/x
  3. Step 3: Cross multiply
    324,769.50x = 485,514 × 485,514
  4. Step 4: Simplify right side
    324,769.50x = 235,723,844,196
  5. Step 5: Solve for x
    x = 235,723,844,196/324,769.50
  6. Step 6: Final answer
    x = 725,818.91

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.