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Finding the Third Proportional to 262,986 and 576,027

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Solution

The third proportional to 262,986 and 576,027 is: 1,261,691.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,986 : 576,027 = 576,027 : x
  2. Step 2: Convert to fraction form
    262,986/576,027 = 576,027/x
  3. Step 3: Cross multiply
    262,986x = 576,027 × 576,027
  4. Step 4: Simplify right side
    262,986x = 331,807,104,729
  5. Step 5: Solve for x
    x = 331,807,104,729/262,986
  6. Step 6: Final answer
    x = 1,261,691.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.