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Finding the Third Proportional to 585.56 and 1,236.38

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Solution

The third proportional to 585.56 and 1,236.38 is: 2,610.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.56 : 1,236.38 = 1,236.38 : x
  2. Step 2: Convert to fraction form
    585.56/1,236.38 = 1,236.38/x
  3. Step 3: Cross multiply
    585.56x = 1,236.38 × 1,236.38
  4. Step 4: Simplify right side
    585.56x = 1,528,623.14
  5. Step 5: Solve for x
    x = 1,528,623.14/585.56
  6. Step 6: Final answer
    x = 2,610.52

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.