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Finding the Third Proportional to 262.83 and 570.23

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Solution

The third proportional to 262.83 and 570.23 is: 1,237.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.83 : 570.23 = 570.23 : x
  2. Step 2: Convert to fraction form
    262.83/570.23 = 570.23/x
  3. Step 3: Cross multiply
    262.83x = 570.23 × 570.23
  4. Step 4: Simplify right side
    262.83x = 325,167.24
  5. Step 5: Solve for x
    x = 325,167.24/262.83
  6. Step 6: Final answer
    x = 1,237.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.