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Finding the Third Proportional to 323,788 and 660,424

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Solution

The third proportional to 323,788 and 660,424 is: 1,347,053.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,788 : 660,424 = 660,424 : x
  2. Step 2: Convert to fraction form
    323,788/660,424 = 660,424/x
  3. Step 3: Cross multiply
    323,788x = 660,424 × 660,424
  4. Step 4: Simplify right side
    323,788x = 436,159,859,776
  5. Step 5: Solve for x
    x = 436,159,859,776/323,788
  6. Step 6: Final answer
    x = 1,347,053.81

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.