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Finding the Third Proportional to 368,466 and 764,628

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Solution

The third proportional to 368,466 and 764,628 is: 1,586,729.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,466 : 764,628 = 764,628 : x
  2. Step 2: Convert to fraction form
    368,466/764,628 = 764,628/x
  3. Step 3: Cross multiply
    368,466x = 764,628 × 764,628
  4. Step 4: Simplify right side
    368,466x = 584,655,978,384
  5. Step 5: Solve for x
    x = 584,655,978,384/368,466
  6. Step 6: Final answer
    x = 1,586,729.79

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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.