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Finding the Third Proportional to 324,333 and 746,534

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Solution

The third proportional to 324,333 and 746,534 is: 1,718,335.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,333 : 746,534 = 746,534 : x
  2. Step 2: Convert to fraction form
    324,333/746,534 = 746,534/x
  3. Step 3: Cross multiply
    324,333x = 746,534 × 746,534
  4. Step 4: Simplify right side
    324,333x = 557,313,013,156
  5. Step 5: Solve for x
    x = 557,313,013,156/324,333
  6. Step 6: Final answer
    x = 1,718,335.83

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.