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Finding the Third Proportional to 262,606 and 382,427

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Solution

The third proportional to 262,606 and 382,427 is: 556,919.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,606 : 382,427 = 382,427 : x
  2. Step 2: Convert to fraction form
    262,606/382,427 = 382,427/x
  3. Step 3: Cross multiply
    262,606x = 382,427 × 382,427
  4. Step 4: Simplify right side
    262,606x = 146,250,410,329
  5. Step 5: Solve for x
    x = 146,250,410,329/262,606
  6. Step 6: Final answer
    x = 556,919.53

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.