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Finding the Third Proportional to 375.94 and 562.22

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Solution

The third proportional to 375.94 and 562.22 is: 840.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.94 : 562.22 = 562.22 : x
  2. Step 2: Convert to fraction form
    375.94/562.22 = 562.22/x
  3. Step 3: Cross multiply
    375.94x = 562.22 × 562.22
  4. Step 4: Simplify right side
    375.94x = 316,089.92
  5. Step 5: Solve for x
    x = 316,089.92/375.94
  6. Step 6: Final answer
    x = 840.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.