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Finding the Third Proportional to 264.31 and 563.94

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Solution

The third proportional to 264.31 and 563.94 is: 1,203.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.31 : 563.94 = 563.94 : x
  2. Step 2: Convert to fraction form
    264.31/563.94 = 563.94/x
  3. Step 3: Cross multiply
    264.31x = 563.94 × 563.94
  4. Step 4: Simplify right side
    264.31x = 318,025.50
  5. Step 5: Solve for x
    x = 318,025.50/264.31
  6. Step 6: Final answer
    x = 1,203.22

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.