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Finding the Third Proportional to 331,013 and 708,682

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Solution

The third proportional to 331,013 and 708,682 is: 1,517,252.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,013 : 708,682 = 708,682 : x
  2. Step 2: Convert to fraction form
    331,013/708,682 = 708,682/x
  3. Step 3: Cross multiply
    331,013x = 708,682 × 708,682
  4. Step 4: Simplify right side
    331,013x = 502,230,177,124
  5. Step 5: Solve for x
    x = 502,230,177,124/331,013
  6. Step 6: Final answer
    x = 1,517,252.12

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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.