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Finding the Third Proportional to 262,974 and 576,004

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Solution

The third proportional to 262,974 and 576,004 is: 1,261,647.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,974 : 576,004 = 576,004 : x
  2. Step 2: Convert to fraction form
    262,974/576,004 = 576,004/x
  3. Step 3: Cross multiply
    262,974x = 576,004 × 576,004
  4. Step 4: Simplify right side
    262,974x = 331,780,608,016
  5. Step 5: Solve for x
    x = 331,780,608,016/262,974
  6. Step 6: Final answer
    x = 1,261,647.95

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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.