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Finding the Third Proportional to 305,867 and 482,015

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Solution

The third proportional to 305,867 and 482,015 is: 759,606.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,867 : 482,015 = 482,015 : x
  2. Step 2: Convert to fraction form
    305,867/482,015 = 482,015/x
  3. Step 3: Cross multiply
    305,867x = 482,015 × 482,015
  4. Step 4: Simplify right side
    305,867x = 232,338,460,225
  5. Step 5: Solve for x
    x = 232,338,460,225/305,867
  6. Step 6: Final answer
    x = 759,606.17

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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.