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Finding the Third Proportional to 374.06 and 558.80

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Solution

The third proportional to 374.06 and 558.80 is: 834.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.06 : 558.80 = 558.80 : x
  2. Step 2: Convert to fraction form
    374.06/558.80 = 558.80/x
  3. Step 3: Cross multiply
    374.06x = 558.80 × 558.80
  4. Step 4: Simplify right side
    374.06x = 312,253.95
  5. Step 5: Solve for x
    x = 312,253.95/374.06
  6. Step 6: Final answer
    x = 834.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.