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Finding the Third Proportional to 368,724 and 804,192

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Solution

The third proportional to 368,724 and 804,192 is: 1,753,953.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,724 : 804,192 = 804,192 : x
  2. Step 2: Convert to fraction form
    368,724/804,192 = 804,192/x
  3. Step 3: Cross multiply
    368,724x = 804,192 × 804,192
  4. Step 4: Simplify right side
    368,724x = 646,724,772,864
  5. Step 5: Solve for x
    x = 646,724,772,864/368,724
  6. Step 6: Final answer
    x = 1,753,953.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.