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Finding the Third Proportional to 281,682 and 586,662

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Solution

The third proportional to 281,682 and 586,662 is: 1,221,846.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,682 : 586,662 = 586,662 : x
  2. Step 2: Convert to fraction form
    281,682/586,662 = 586,662/x
  3. Step 3: Cross multiply
    281,682x = 586,662 × 586,662
  4. Step 4: Simplify right side
    281,682x = 344,172,302,244
  5. Step 5: Solve for x
    x = 344,172,302,244/281,682
  6. Step 6: Final answer
    x = 1,221,846.98

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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.