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Finding the Third Proportional to 325,074.75 and 431,339.75

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Solution

The third proportional to 325,074.75 and 431,339.75 is: 572,342.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,074.75 : 431,339.75 = 431,339.75 : x
  2. Step 2: Convert to fraction form
    325,074.75/431,339.75 = 431,339.75/x
  3. Step 3: Cross multiply
    325,074.75x = 431,339.75 × 431,339.75
  4. Step 4: Simplify right side
    325,074.75x = 186,053,979,930.06
  5. Step 5: Solve for x
    x = 186,053,979,930.06/325,074.75
  6. Step 6: Final answer
    x = 572,342.15

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.