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Finding the Third Proportional to 382,680 and 834,252

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Solution

The third proportional to 382,680 and 834,252 is: 1,818,690.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,680 : 834,252 = 834,252 : x
  2. Step 2: Convert to fraction form
    382,680/834,252 = 834,252/x
  3. Step 3: Cross multiply
    382,680x = 834,252 × 834,252
  4. Step 4: Simplify right side
    382,680x = 695,976,399,504
  5. Step 5: Solve for x
    x = 695,976,399,504/382,680
  6. Step 6: Final answer
    x = 1,818,690.29

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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.