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Finding the Third Proportional to 324,952.75 and 701,285.13

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Solution

The third proportional to 324,952.75 and 701,285.13 is: 1,513,453.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,952.75 : 701,285.13 = 701,285.13 : x
  2. Step 2: Convert to fraction form
    324,952.75/701,285.13 = 701,285.13/x
  3. Step 3: Cross multiply
    324,952.75x = 701,285.13 × 701,285.13
  4. Step 4: Simplify right side
    324,952.75x = 491,800,826,546.27
  5. Step 5: Solve for x
    x = 491,800,826,546.27/324,952.75
  6. Step 6: Final answer
    x = 1,513,453.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.