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Finding the Third Proportional to 262,804 and 576,474

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Solution

The third proportional to 262,804 and 576,474 is: 1,264,525.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,804 : 576,474 = 576,474 : x
  2. Step 2: Convert to fraction form
    262,804/576,474 = 576,474/x
  3. Step 3: Cross multiply
    262,804x = 576,474 × 576,474
  4. Step 4: Simplify right side
    262,804x = 332,322,272,676
  5. Step 5: Solve for x
    x = 332,322,272,676/262,804
  6. Step 6: Final answer
    x = 1,264,525.17

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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.