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Finding the Third Proportional to 326,738.53 and 707,759.02

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Solution

The third proportional to 326,738.53 and 707,759.02 is: 1,533,099.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,738.53 : 707,759.02 = 707,759.02 : x
  2. Step 2: Convert to fraction form
    326,738.53/707,759.02 = 707,759.02/x
  3. Step 3: Cross multiply
    326,738.53x = 707,759.02 × 707,759.02
  4. Step 4: Simplify right side
    326,738.53x = 500,922,824,198.47
  5. Step 5: Solve for x
    x = 500,922,824,198.47/326,738.53
  6. Step 6: Final answer
    x = 1,533,099.94

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.