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Finding the Third Proportional to 324,956.81 and 701,292.52

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Solution

The third proportional to 324,956.81 and 701,292.52 is: 1,513,466.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,956.81 : 701,292.52 = 701,292.52 : x
  2. Step 2: Convert to fraction form
    324,956.81/701,292.52 = 701,292.52/x
  3. Step 3: Cross multiply
    324,956.81x = 701,292.52 × 701,292.52
  4. Step 4: Simplify right side
    324,956.81x = 491,811,192,471.64
  5. Step 5: Solve for x
    x = 491,811,192,471.64/324,956.81
  6. Step 6: Final answer
    x = 1,513,466.32

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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.