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Finding the Third Proportional to 324,913.50 and 502,121.25

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Solution

The third proportional to 324,913.50 and 502,121.25 is: 775,978.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,913.50 : 502,121.25 = 502,121.25 : x
  2. Step 2: Convert to fraction form
    324,913.50/502,121.25 = 502,121.25/x
  3. Step 3: Cross multiply
    324,913.50x = 502,121.25 × 502,121.25
  4. Step 4: Simplify right side
    324,913.50x = 252,125,749,701.56
  5. Step 5: Solve for x
    x = 252,125,749,701.56/324,913.50
  6. Step 6: Final answer
    x = 775,978.07

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.