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Finding the Third Proportional to 331,022 and 708,698

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Solution

The third proportional to 331,022 and 708,698 is: 1,517,279.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,022 : 708,698 = 708,698 : x
  2. Step 2: Convert to fraction form
    331,022/708,698 = 708,698/x
  3. Step 3: Cross multiply
    331,022x = 708,698 × 708,698
  4. Step 4: Simplify right side
    331,022x = 502,252,855,204
  5. Step 5: Solve for x
    x = 502,252,855,204/331,022
  6. Step 6: Final answer
    x = 1,517,279.38

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.