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Finding the Third Proportional to 324,330.75 and 746,529.75

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Solution

The third proportional to 324,330.75 and 746,529.75 is: 1,718,328.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,330.75 : 746,529.75 = 746,529.75 : x
  2. Step 2: Convert to fraction form
    324,330.75/746,529.75 = 746,529.75/x
  3. Step 3: Cross multiply
    324,330.75x = 746,529.75 × 746,529.75
  4. Step 4: Simplify right side
    324,330.75x = 557,306,667,635.06
  5. Step 5: Solve for x
    x = 557,306,667,635.06/324,330.75
  6. Step 6: Final answer
    x = 1,718,328.18

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.