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Finding the Third Proportional to 281,630.25 and 586,568.25

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Solution

The third proportional to 281,630.25 and 586,568.25 is: 1,221,680.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,630.25 : 586,568.25 = 586,568.25 : x
  2. Step 2: Convert to fraction form
    281,630.25/586,568.25 = 586,568.25/x
  3. Step 3: Cross multiply
    281,630.25x = 586,568.25 × 586,568.25
  4. Step 4: Simplify right side
    281,630.25x = 344,062,311,908.06
  5. Step 5: Solve for x
    x = 344,062,311,908.06/281,630.25
  6. Step 6: Final answer
    x = 1,221,680.95

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.