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Finding the Third Proportional to 325,671.75 and 707,046.75

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Solution

The third proportional to 325,671.75 and 707,046.75 is: 1,535,027.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,671.75 : 707,046.75 = 707,046.75 : x
  2. Step 2: Convert to fraction form
    325,671.75/707,046.75 = 707,046.75/x
  3. Step 3: Cross multiply
    325,671.75x = 707,046.75 × 707,046.75
  4. Step 4: Simplify right side
    325,671.75x = 499,915,106,685.56
  5. Step 5: Solve for x
    x = 499,915,106,685.56/325,671.75
  6. Step 6: Final answer
    x = 1,535,027.54

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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.