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Finding the Third Proportional to 324,586 and 701,012

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Solution

The third proportional to 324,586 and 701,012 is: 1,513,983.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,586 : 701,012 = 701,012 : x
  2. Step 2: Convert to fraction form
    324,586/701,012 = 701,012/x
  3. Step 3: Cross multiply
    324,586x = 701,012 × 701,012
  4. Step 4: Simplify right side
    324,586x = 491,417,824,144
  5. Step 5: Solve for x
    x = 491,417,824,144/324,586
  6. Step 6: Final answer
    x = 1,513,983.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.