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Finding the Third Proportional to 324,959 and 701,296.50

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Solution

The third proportional to 324,959 and 701,296.50 is: 1,513,473.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,959 : 701,296.50 = 701,296.50 : x
  2. Step 2: Convert to fraction form
    324,959/701,296.50 = 701,296.50/x
  3. Step 3: Cross multiply
    324,959x = 701,296.50 × 701,296.50
  4. Step 4: Simplify right side
    324,959x = 491,816,780,912.25
  5. Step 5: Solve for x
    x = 491,816,780,912.25/324,959
  6. Step 6: Final answer
    x = 1,513,473.33

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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.