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Finding the Third Proportional to 281,736 and 586,764

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Solution

The third proportional to 281,736 and 586,764 is: 1,222,037.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,736 : 586,764 = 586,764 : x
  2. Step 2: Convert to fraction form
    281,736/586,764 = 586,764/x
  3. Step 3: Cross multiply
    281,736x = 586,764 × 586,764
  4. Step 4: Simplify right side
    281,736x = 344,291,991,696
  5. Step 5: Solve for x
    x = 344,291,991,696/281,736
  6. Step 6: Final answer
    x = 1,222,037.62

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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.