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Finding the Third Proportional to 248,842 and 382,479

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Solution

The third proportional to 248,842 and 382,479 is: 587,883.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,842 : 382,479 = 382,479 : x
  2. Step 2: Convert to fraction form
    248,842/382,479 = 382,479/x
  3. Step 3: Cross multiply
    248,842x = 382,479 × 382,479
  4. Step 4: Simplify right side
    248,842x = 146,290,185,441
  5. Step 5: Solve for x
    x = 146,290,185,441/248,842
  6. Step 6: Final answer
    x = 587,883.82

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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.