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Finding the Third Proportional to 281,612.25 and 583,175.75

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Solution

The third proportional to 281,612.25 and 583,175.75 is: 1,207,667.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,612.25 : 583,175.75 = 583,175.75 : x
  2. Step 2: Convert to fraction form
    281,612.25/583,175.75 = 583,175.75/x
  3. Step 3: Cross multiply
    281,612.25x = 583,175.75 × 583,175.75
  4. Step 4: Simplify right side
    281,612.25x = 340,093,955,388.06
  5. Step 5: Solve for x
    x = 340,093,955,388.06/281,612.25
  6. Step 6: Final answer
    x = 1,207,667.48

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.