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Finding the Third Proportional to 393,178 and 843,704

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Solution

The third proportional to 393,178 and 843,704 is: 1,810,468.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,178 : 843,704 = 843,704 : x
  2. Step 2: Convert to fraction form
    393,178/843,704 = 843,704/x
  3. Step 3: Cross multiply
    393,178x = 843,704 × 843,704
  4. Step 4: Simplify right side
    393,178x = 711,836,439,616
  5. Step 5: Solve for x
    x = 711,836,439,616/393,178
  6. Step 6: Final answer
    x = 1,810,468.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.