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Finding the Third Proportional to 376,191 and 813,739.50

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Solution

The third proportional to 376,191 and 813,739.50 is: 1,760,201.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,191 : 813,739.50 = 813,739.50 : x
  2. Step 2: Convert to fraction form
    376,191/813,739.50 = 813,739.50/x
  3. Step 3: Cross multiply
    376,191x = 813,739.50 × 813,739.50
  4. Step 4: Simplify right side
    376,191x = 662,171,973,860.25
  5. Step 5: Solve for x
    x = 662,171,973,860.25/376,191
  6. Step 6: Final answer
    x = 1,760,201.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.