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Finding the Third Proportional to 324,916 and 502,126

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Solution

The third proportional to 324,916 and 502,126 is: 775,986.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,916 : 502,126 = 502,126 : x
  2. Step 2: Convert to fraction form
    324,916/502,126 = 502,126/x
  3. Step 3: Cross multiply
    324,916x = 502,126 × 502,126
  4. Step 4: Simplify right side
    324,916x = 252,130,519,876
  5. Step 5: Solve for x
    x = 252,130,519,876/324,916
  6. Step 6: Final answer
    x = 775,986.78

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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.