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Finding the Third Proportional to 564.47 and 806.06

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Solution

The third proportional to 564.47 and 806.06 is: 1,151.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.47 : 806.06 = 806.06 : x
  2. Step 2: Convert to fraction form
    564.47/806.06 = 806.06/x
  3. Step 3: Cross multiply
    564.47x = 806.06 × 806.06
  4. Step 4: Simplify right side
    564.47x = 649,736.75
  5. Step 5: Solve for x
    x = 649,736.75/564.47
  6. Step 6: Final answer
    x = 1,151.06

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.