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Finding the Third Proportional to 580.29 and 1,361.18

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Solution

The third proportional to 580.29 and 1,361.18 is: 3,192.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.29 : 1,361.18 = 1,361.18 : x
  2. Step 2: Convert to fraction form
    580.29/1,361.18 = 1,361.18/x
  3. Step 3: Cross multiply
    580.29x = 1,361.18 × 1,361.18
  4. Step 4: Simplify right side
    580.29x = 1,852,810.14
  5. Step 5: Solve for x
    x = 1,852,810.14/580.29
  6. Step 6: Final answer
    x = 3,192.91

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.