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Finding the Third Proportional to 248,866 and 382,515

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Solution

The third proportional to 248,866 and 382,515 is: 587,937.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,866 : 382,515 = 382,515 : x
  2. Step 2: Convert to fraction form
    248,866/382,515 = 382,515/x
  3. Step 3: Cross multiply
    248,866x = 382,515 × 382,515
  4. Step 4: Simplify right side
    248,866x = 146,317,725,225
  5. Step 5: Solve for x
    x = 146,317,725,225/248,866
  6. Step 6: Final answer
    x = 587,937.79

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.