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Finding the Third Proportional to 324,790 and 708,601

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Solution

The third proportional to 324,790 and 708,601 is: 1,545,969.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,790 : 708,601 = 708,601 : x
  2. Step 2: Convert to fraction form
    324,790/708,601 = 708,601/x
  3. Step 3: Cross multiply
    324,790x = 708,601 × 708,601
  4. Step 4: Simplify right side
    324,790x = 502,115,377,201
  5. Step 5: Solve for x
    x = 502,115,377,201/324,790
  6. Step 6: Final answer
    x = 1,545,969.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.