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Finding the Third Proportional to 580.75 and 872.13

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Solution

The third proportional to 580.75 and 872.13 is: 1,309.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.75 : 872.13 = 872.13 : x
  2. Step 2: Convert to fraction form
    580.75/872.13 = 872.13/x
  3. Step 3: Cross multiply
    580.75x = 872.13 × 872.13
  4. Step 4: Simplify right side
    580.75x = 760,602.02
  5. Step 5: Solve for x
    x = 760,602.02/580.75
  6. Step 6: Final answer
    x = 1,309.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.