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Finding the Third Proportional to 262,017 and 533,662

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Solution

The third proportional to 262,017 and 533,662 is: 1,086,933.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,017 : 533,662 = 533,662 : x
  2. Step 2: Convert to fraction form
    262,017/533,662 = 533,662/x
  3. Step 3: Cross multiply
    262,017x = 533,662 × 533,662
  4. Step 4: Simplify right side
    262,017x = 284,795,130,244
  5. Step 5: Solve for x
    x = 284,795,130,244/262,017
  6. Step 6: Final answer
    x = 1,086,933.79

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.