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Finding the Third Proportional to 374.67 and 567.23

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Solution

The third proportional to 374.67 and 567.23 is: 858.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.67 : 567.23 = 567.23 : x
  2. Step 2: Convert to fraction form
    374.67/567.23 = 567.23/x
  3. Step 3: Cross multiply
    374.67x = 567.23 × 567.23
  4. Step 4: Simplify right side
    374.67x = 321,754.84
  5. Step 5: Solve for x
    x = 321,754.84/374.67
  6. Step 6: Final answer
    x = 858.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.