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Finding the Third Proportional to 374.06 and 471.23

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Solution

The third proportional to 374.06 and 471.23 is: 593.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.06 : 471.23 = 471.23 : x
  2. Step 2: Convert to fraction form
    374.06/471.23 = 471.23/x
  3. Step 3: Cross multiply
    374.06x = 471.23 × 471.23
  4. Step 4: Simplify right side
    374.06x = 222,061.84
  5. Step 5: Solve for x
    x = 222,061.84/374.06
  6. Step 6: Final answer
    x = 593.65

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Why These Related Problems?

These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.