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Finding the Third Proportional to 353,952 and 764,204

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Solution

The third proportional to 353,952 and 764,204 is: 1,649,963.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,952 : 764,204 = 764,204 : x
  2. Step 2: Convert to fraction form
    353,952/764,204 = 764,204/x
  3. Step 3: Cross multiply
    353,952x = 764,204 × 764,204
  4. Step 4: Simplify right side
    353,952x = 584,007,753,616
  5. Step 5: Solve for x
    x = 584,007,753,616/353,952
  6. Step 6: Final answer
    x = 1,649,963.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.