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Finding the Third Proportional to 580.50 and 876.94

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Solution

The third proportional to 580.50 and 876.94 is: 1,324.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.50 : 876.94 = 876.94 : x
  2. Step 2: Convert to fraction form
    580.50/876.94 = 876.94/x
  3. Step 3: Cross multiply
    580.50x = 876.94 × 876.94
  4. Step 4: Simplify right side
    580.50x = 769,019.38
  5. Step 5: Solve for x
    x = 769,019.38/580.50
  6. Step 6: Final answer
    x = 1,324.75

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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.