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Finding the Third Proportional to 262.94 and 575.56

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Solution

The third proportional to 262.94 and 575.56 is: 1,259.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.94 : 575.56 = 575.56 : x
  2. Step 2: Convert to fraction form
    262.94/575.56 = 575.56/x
  3. Step 3: Cross multiply
    262.94x = 575.56 × 575.56
  4. Step 4: Simplify right side
    262.94x = 331,272.19
  5. Step 5: Solve for x
    x = 331,272.19/262.94
  6. Step 6: Final answer
    x = 1,259.89

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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.