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Finding the Third Proportional to 305,865 and 482,012

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Solution

The third proportional to 305,865 and 482,012 is: 759,601.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,865 : 482,012 = 482,012 : x
  2. Step 2: Convert to fraction form
    305,865/482,012 = 482,012/x
  3. Step 3: Cross multiply
    305,865x = 482,012 × 482,012
  4. Step 4: Simplify right side
    305,865x = 232,335,568,144
  5. Step 5: Solve for x
    x = 232,335,568,144/305,865
  6. Step 6: Final answer
    x = 759,601.68

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.