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Finding the Third Proportional to 264.30 and 571.84

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Solution

The third proportional to 264.30 and 571.84 is: 1,237.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.30 : 571.84 = 571.84 : x
  2. Step 2: Convert to fraction form
    264.30/571.84 = 571.84/x
  3. Step 3: Cross multiply
    264.30x = 571.84 × 571.84
  4. Step 4: Simplify right side
    264.30x = 327,006.67
  5. Step 5: Solve for x
    x = 327,006.67/264.30
  6. Step 6: Final answer
    x = 1,237.26

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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.