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Finding the Third Proportional to 363,288 and 791,968

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Solution

The third proportional to 363,288 and 791,968 is: 1,726,490.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,288 : 791,968 = 791,968 : x
  2. Step 2: Convert to fraction form
    363,288/791,968 = 791,968/x
  3. Step 3: Cross multiply
    363,288x = 791,968 × 791,968
  4. Step 4: Simplify right side
    363,288x = 627,213,313,024
  5. Step 5: Solve for x
    x = 627,213,313,024/363,288
  6. Step 6: Final answer
    x = 1,726,490.59

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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.