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Finding the Third Proportional to 563.91 and 830.81

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Solution

The third proportional to 563.91 and 830.81 is: 1,224.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.91 : 830.81 = 830.81 : x
  2. Step 2: Convert to fraction form
    563.91/830.81 = 830.81/x
  3. Step 3: Cross multiply
    563.91x = 830.81 × 830.81
  4. Step 4: Simplify right side
    563.91x = 690,249.41
  5. Step 5: Solve for x
    x = 690,249.41/563.91
  6. Step 6: Final answer
    x = 1,224.05

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.