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Finding the Third Proportional to 367,874 and 791,881

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Solution

The third proportional to 367,874 and 791,881 is: 1,704,593.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,874 : 791,881 = 791,881 : x
  2. Step 2: Convert to fraction form
    367,874/791,881 = 791,881/x
  3. Step 3: Cross multiply
    367,874x = 791,881 × 791,881
  4. Step 4: Simplify right side
    367,874x = 627,075,518,161
  5. Step 5: Solve for x
    x = 627,075,518,161/367,874
  6. Step 6: Final answer
    x = 1,704,593.20

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.