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Finding the Third Proportional to 324,960 and 502,191

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Solution

The third proportional to 324,960 and 502,191 is: 776,082.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,960 : 502,191 = 502,191 : x
  2. Step 2: Convert to fraction form
    324,960/502,191 = 502,191/x
  3. Step 3: Cross multiply
    324,960x = 502,191 × 502,191
  4. Step 4: Simplify right side
    324,960x = 252,195,800,481
  5. Step 5: Solve for x
    x = 252,195,800,481/324,960
  6. Step 6: Final answer
    x = 776,082.60

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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.