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Finding the Third Proportional to 563.84 and 845.75

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Solution

The third proportional to 563.84 and 845.75 is: 1,268.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.84 : 845.75 = 845.75 : x
  2. Step 2: Convert to fraction form
    563.84/845.75 = 845.75/x
  3. Step 3: Cross multiply
    563.84x = 845.75 × 845.75
  4. Step 4: Simplify right side
    563.84x = 715,299.67
  5. Step 5: Solve for x
    x = 715,299.67/563.84
  6. Step 6: Final answer
    x = 1,268.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.