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Finding the Third Proportional to 281,616.75 and 586,541.25

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Solution

The third proportional to 281,616.75 and 586,541.25 is: 1,221,627.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,616.75 : 586,541.25 = 586,541.25 : x
  2. Step 2: Convert to fraction form
    281,616.75/586,541.25 = 586,541.25/x
  3. Step 3: Cross multiply
    281,616.75x = 586,541.25 × 586,541.25
  4. Step 4: Simplify right side
    281,616.75x = 344,030,637,951.56
  5. Step 5: Solve for x
    x = 344,030,637,951.56/281,616.75
  6. Step 6: Final answer
    x = 1,221,627.04

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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.