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Finding the Third Proportional to 563.88 and 914.06

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Solution

The third proportional to 563.88 and 914.06 is: 1,481.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.88 : 914.06 = 914.06 : x
  2. Step 2: Convert to fraction form
    563.88/914.06 = 914.06/x
  3. Step 3: Cross multiply
    563.88x = 914.06 × 914.06
  4. Step 4: Simplify right side
    563.88x = 835,510.25
  5. Step 5: Solve for x
    x = 835,510.25/563.88
  6. Step 6: Final answer
    x = 1,481.73

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.