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Finding the Third Proportional to 393,764 and 804,133

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Solution

The third proportional to 393,764 and 804,133 is: 1,642,176.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,764 : 804,133 = 804,133 : x
  2. Step 2: Convert to fraction form
    393,764/804,133 = 804,133/x
  3. Step 3: Cross multiply
    393,764x = 804,133 × 804,133
  4. Step 4: Simplify right side
    393,764x = 646,629,881,689
  5. Step 5: Solve for x
    x = 646,629,881,689/393,764
  6. Step 6: Final answer
    x = 1,642,176.23

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.