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Finding the Third Proportional to 563.81 and 621.19

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Solution

The third proportional to 563.81 and 621.19 is: 684.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.81 : 621.19 = 621.19 : x
  2. Step 2: Convert to fraction form
    563.81/621.19 = 621.19/x
  3. Step 3: Cross multiply
    563.81x = 621.19 × 621.19
  4. Step 4: Simplify right side
    563.81x = 385,873.91
  5. Step 5: Solve for x
    x = 385,873.91/563.81
  6. Step 6: Final answer
    x = 684.40

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.