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Finding the Third Proportional to 234,671.75 and 504,723

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Solution

The third proportional to 234,671.75 and 504,723 is: 1,085,538.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,671.75 : 504,723 = 504,723 : x
  2. Step 2: Convert to fraction form
    234,671.75/504,723 = 504,723/x
  3. Step 3: Cross multiply
    234,671.75x = 504,723 × 504,723
  4. Step 4: Simplify right side
    234,671.75x = 254,745,306,729
  5. Step 5: Solve for x
    x = 254,745,306,729/234,671.75
  6. Step 6: Final answer
    x = 1,085,538.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.