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Finding the Third Proportional to 169,606 and 382,479

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Solution

The third proportional to 169,606 and 382,479 is: 862,529.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,606 : 382,479 = 382,479 : x
  2. Step 2: Convert to fraction form
    169,606/382,479 = 382,479/x
  3. Step 3: Cross multiply
    169,606x = 382,479 × 382,479
  4. Step 4: Simplify right side
    169,606x = 146,290,185,441
  5. Step 5: Solve for x
    x = 146,290,185,441/169,606
  6. Step 6: Final answer
    x = 862,529.54

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.