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Finding the Third Proportional to 394,596 and 852,258

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Solution

The third proportional to 394,596 and 852,258 is: 1,840,727.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,596 : 852,258 = 852,258 : x
  2. Step 2: Convert to fraction form
    394,596/852,258 = 852,258/x
  3. Step 3: Cross multiply
    394,596x = 852,258 × 852,258
  4. Step 4: Simplify right side
    394,596x = 726,343,698,564
  5. Step 5: Solve for x
    x = 726,343,698,564/394,596
  6. Step 6: Final answer
    x = 1,840,727.47

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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.