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Finding the Third Proportional to 264.94 and 570.38

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Solution

The third proportional to 264.94 and 570.38 is: 1,227.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.94 : 570.38 = 570.38 : x
  2. Step 2: Convert to fraction form
    264.94/570.38 = 570.38/x
  3. Step 3: Cross multiply
    264.94x = 570.38 × 570.38
  4. Step 4: Simplify right side
    264.94x = 325,327.64
  5. Step 5: Solve for x
    x = 325,327.64/264.94
  6. Step 6: Final answer
    x = 1,227.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.