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Finding the Third Proportional to 370,100 and 806,782

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Solution

The third proportional to 370,100 and 806,782 is: 1,758,706.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,100 : 806,782 = 806,782 : x
  2. Step 2: Convert to fraction form
    370,100/806,782 = 806,782/x
  3. Step 3: Cross multiply
    370,100x = 806,782 × 806,782
  4. Step 4: Simplify right side
    370,100x = 650,897,195,524
  5. Step 5: Solve for x
    x = 650,897,195,524/370,100
  6. Step 6: Final answer
    x = 1,758,706.28

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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.