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Finding the Third Proportional to 580.92 and 1,324.16

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Solution

The third proportional to 580.92 and 1,324.16 is: 3,018.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.92 : 1,324.16 = 1,324.16 : x
  2. Step 2: Convert to fraction form
    580.92/1,324.16 = 1,324.16/x
  3. Step 3: Cross multiply
    580.92x = 1,324.16 × 1,324.16
  4. Step 4: Simplify right side
    580.92x = 1,753,400.12
  5. Step 5: Solve for x
    x = 1,753,400.12/580.92
  6. Step 6: Final answer
    x = 3,018.31

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.