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Finding the Third Proportional to 410.06 and 563.84

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Solution

The third proportional to 410.06 and 563.84 is: 775.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.06 : 563.84 = 563.84 : x
  2. Step 2: Convert to fraction form
    410.06/563.84 = 563.84/x
  3. Step 3: Cross multiply
    410.06x = 563.84 × 563.84
  4. Step 4: Simplify right side
    410.06x = 317,910.96
  5. Step 5: Solve for x
    x = 317,910.96/410.06
  6. Step 6: Final answer
    x = 775.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.