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Finding the Third Proportional to 393,768 and 804,141

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Solution

The third proportional to 393,768 and 804,141 is: 1,642,192.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,768 : 804,141 = 804,141 : x
  2. Step 2: Convert to fraction form
    393,768/804,141 = 804,141/x
  3. Step 3: Cross multiply
    393,768x = 804,141 × 804,141
  4. Step 4: Simplify right side
    393,768x = 646,642,747,881
  5. Step 5: Solve for x
    x = 646,642,747,881/393,768
  6. Step 6: Final answer
    x = 1,642,192.22

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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.