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Finding the Third Proportional to 368,478 and 764,652

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Solution

The third proportional to 368,478 and 764,652 is: 1,586,777.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,478 : 764,652 = 764,652 : x
  2. Step 2: Convert to fraction form
    368,478/764,652 = 764,652/x
  3. Step 3: Cross multiply
    368,478x = 764,652 × 764,652
  4. Step 4: Simplify right side
    368,478x = 584,692,681,104
  5. Step 5: Solve for x
    x = 584,692,681,104/368,478
  6. Step 6: Final answer
    x = 1,586,777.72

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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.