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Finding the Third Proportional to 324,280 and 707,016

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Solution

The third proportional to 324,280 and 707,016 is: 1,541,481.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,280 : 707,016 = 707,016 : x
  2. Step 2: Convert to fraction form
    324,280/707,016 = 707,016/x
  3. Step 3: Cross multiply
    324,280x = 707,016 × 707,016
  4. Step 4: Simplify right side
    324,280x = 499,871,624,256
  5. Step 5: Solve for x
    x = 499,871,624,256/324,280
  6. Step 6: Final answer
    x = 1,541,481.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.