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Finding the Third Proportional to 368,462 and 764,620

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Solution

The third proportional to 368,462 and 764,620 is: 1,586,713.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,462 : 764,620 = 764,620 : x
  2. Step 2: Convert to fraction form
    368,462/764,620 = 764,620/x
  3. Step 3: Cross multiply
    368,462x = 764,620 × 764,620
  4. Step 4: Simplify right side
    368,462x = 584,643,744,400
  5. Step 5: Solve for x
    x = 584,643,744,400/368,462
  6. Step 6: Final answer
    x = 1,586,713.81

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.