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Finding the Third Proportional to 324,885 and 502,083

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Solution

The third proportional to 324,885 and 502,083 is: 775,927.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,885 : 502,083 = 502,083 : x
  2. Step 2: Convert to fraction form
    324,885/502,083 = 502,083/x
  3. Step 3: Cross multiply
    324,885x = 502,083 × 502,083
  4. Step 4: Simplify right side
    324,885x = 252,087,338,889
  5. Step 5: Solve for x
    x = 252,087,338,889/324,885
  6. Step 6: Final answer
    x = 775,927.91

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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.