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Finding the Third Proportional to 323,919 and 508,081

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Solution

The third proportional to 323,919 and 508,081 is: 796,947.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,919 : 508,081 = 508,081 : x
  2. Step 2: Convert to fraction form
    323,919/508,081 = 508,081/x
  3. Step 3: Cross multiply
    323,919x = 508,081 × 508,081
  4. Step 4: Simplify right side
    323,919x = 258,146,302,561
  5. Step 5: Solve for x
    x = 258,146,302,561/323,919
  6. Step 6: Final answer
    x = 796,947.08

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.