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Finding the Third Proportional to 373.04 and 580.76

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Solution

The third proportional to 373.04 and 580.76 is: 904.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.04 : 580.76 = 580.76 : x
  2. Step 2: Convert to fraction form
    373.04/580.76 = 580.76/x
  3. Step 3: Cross multiply
    373.04x = 580.76 × 580.76
  4. Step 4: Simplify right side
    373.04x = 337,286.44
  5. Step 5: Solve for x
    x = 337,286.44/373.04
  6. Step 6: Final answer
    x = 904.15

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.