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Finding the Third Proportional to 262.97 and 577.22

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Solution

The third proportional to 262.97 and 577.22 is: 1,267.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.97 : 577.22 = 577.22 : x
  2. Step 2: Convert to fraction form
    262.97/577.22 = 577.22/x
  3. Step 3: Cross multiply
    262.97x = 577.22 × 577.22
  4. Step 4: Simplify right side
    262.97x = 333,181.49
  5. Step 5: Solve for x
    x = 333,181.49/262.97
  6. Step 6: Final answer
    x = 1,267.00

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.