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Finding the Third Proportional to 363,278 and 791,948

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Solution

The third proportional to 363,278 and 791,948 is: 1,726,450.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,278 : 791,948 = 791,948 : x
  2. Step 2: Convert to fraction form
    363,278/791,948 = 791,948/x
  3. Step 3: Cross multiply
    363,278x = 791,948 × 791,948
  4. Step 4: Simplify right side
    363,278x = 627,181,634,704
  5. Step 5: Solve for x
    x = 627,181,634,704/363,278
  6. Step 6: Final answer
    x = 1,726,450.91

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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.