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Finding the Third Proportional to 585.35 and 1,238.41

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Solution

The third proportional to 585.35 and 1,238.41 is: 2,620.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.35 : 1,238.41 = 1,238.41 : x
  2. Step 2: Convert to fraction form
    585.35/1,238.41 = 1,238.41/x
  3. Step 3: Cross multiply
    585.35x = 1,238.41 × 1,238.41
  4. Step 4: Simplify right side
    585.35x = 1,533,669.39
  5. Step 5: Solve for x
    x = 1,533,669.39/585.35
  6. Step 6: Final answer
    x = 2,620.08

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.