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Finding the Third Proportional to 394,633 and 852,319

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Solution

The third proportional to 394,633 and 852,319 is: 1,840,818.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,633 : 852,319 = 852,319 : x
  2. Step 2: Convert to fraction form
    394,633/852,319 = 852,319/x
  3. Step 3: Cross multiply
    394,633x = 852,319 × 852,319
  4. Step 4: Simplify right side
    394,633x = 726,447,677,761
  5. Step 5: Solve for x
    x = 726,447,677,761/394,633
  6. Step 6: Final answer
    x = 1,840,818.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.