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Finding the Third Proportional to 442.13 and 561.94

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Solution

The third proportional to 442.13 and 561.94 is: 714.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.13 : 561.94 = 561.94 : x
  2. Step 2: Convert to fraction form
    442.13/561.94 = 561.94/x
  3. Step 3: Cross multiply
    442.13x = 561.94 × 561.94
  4. Step 4: Simplify right side
    442.13x = 315,773.75
  5. Step 5: Solve for x
    x = 315,773.75/442.13
  6. Step 6: Final answer
    x = 714.22

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.