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Finding the Third Proportional to 263.88 and 570.88

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Solution

The third proportional to 263.88 and 570.88 is: 1,235.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.88 : 570.88 = 570.88 : x
  2. Step 2: Convert to fraction form
    263.88/570.88 = 570.88/x
  3. Step 3: Cross multiply
    263.88x = 570.88 × 570.88
  4. Step 4: Simplify right side
    263.88x = 325,898.27
  5. Step 5: Solve for x
    x = 325,898.27/263.88
  6. Step 6: Final answer
    x = 1,235.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.