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Finding the Third Proportional to 374.25 and 580.88

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Solution

The third proportional to 374.25 and 580.88 is: 901.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.25 : 580.88 = 580.88 : x
  2. Step 2: Convert to fraction form
    374.25/580.88 = 580.88/x
  3. Step 3: Cross multiply
    374.25x = 580.88 × 580.88
  4. Step 4: Simplify right side
    374.25x = 337,415.77
  5. Step 5: Solve for x
    x = 337,415.77/374.25
  6. Step 6: Final answer
    x = 901.58

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.