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Finding the Third Proportional to 246,947 and 380,682

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Solution

The third proportional to 246,947 and 380,682 is: 586,841.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,947 : 380,682 = 380,682 : x
  2. Step 2: Convert to fraction form
    246,947/380,682 = 380,682/x
  3. Step 3: Cross multiply
    246,947x = 380,682 × 380,682
  4. Step 4: Simplify right side
    246,947x = 144,918,785,124
  5. Step 5: Solve for x
    x = 144,918,785,124/246,947
  6. Step 6: Final answer
    x = 586,841.65

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.