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Finding the Third Proportional to 324,081.75 and 466,851.75

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Solution

The third proportional to 324,081.75 and 466,851.75 is: 672,517.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,081.75 : 466,851.75 = 466,851.75 : x
  2. Step 2: Convert to fraction form
    324,081.75/466,851.75 = 466,851.75/x
  3. Step 3: Cross multiply
    324,081.75x = 466,851.75 × 466,851.75
  4. Step 4: Simplify right side
    324,081.75x = 217,950,556,478.06
  5. Step 5: Solve for x
    x = 217,950,556,478.06/324,081.75
  6. Step 6: Final answer
    x = 672,517.22

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.