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Finding the Third Proportional to 281,985.05 and 587,206.97

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Solution

The third proportional to 281,985.05 and 587,206.97 is: 1,222,802.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,985.05 : 587,206.97 = 587,206.97 : x
  2. Step 2: Convert to fraction form
    281,985.05/587,206.97 = 587,206.97/x
  3. Step 3: Cross multiply
    281,985.05x = 587,206.97 × 587,206.97
  4. Step 4: Simplify right side
    281,985.05x = 344,812,024,148.56
  5. Step 5: Solve for x
    x = 344,812,024,148.56/281,985.05
  6. Step 6: Final answer
    x = 1,222,802.51

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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.