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Finding the Third Proportional to 393,034 and 852,164

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Solution

The third proportional to 393,034 and 852,164 is: 1,847,635.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,034 : 852,164 = 852,164 : x
  2. Step 2: Convert to fraction form
    393,034/852,164 = 852,164/x
  3. Step 3: Cross multiply
    393,034x = 852,164 × 852,164
  4. Step 4: Simplify right side
    393,034x = 726,183,482,896
  5. Step 5: Solve for x
    x = 726,183,482,896/393,034
  6. Step 6: Final answer
    x = 1,847,635.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.