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Finding the Third Proportional to 273,246 and 413,682

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Solution

The third proportional to 273,246 and 413,682 is: 626,295.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,246 : 413,682 = 413,682 : x
  2. Step 2: Convert to fraction form
    273,246/413,682 = 413,682/x
  3. Step 3: Cross multiply
    273,246x = 413,682 × 413,682
  4. Step 4: Simplify right side
    273,246x = 171,132,797,124
  5. Step 5: Solve for x
    x = 171,132,797,124/273,246
  6. Step 6: Final answer
    x = 626,295.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.