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Finding the Third Proportional to 281,732 and 586,856

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Solution

The third proportional to 281,732 and 586,856 is: 1,222,438.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,732 : 586,856 = 586,856 : x
  2. Step 2: Convert to fraction form
    281,732/586,856 = 586,856/x
  3. Step 3: Cross multiply
    281,732x = 586,856 × 586,856
  4. Step 4: Simplify right side
    281,732x = 344,399,964,736
  5. Step 5: Solve for x
    x = 344,399,964,736/281,732
  6. Step 6: Final answer
    x = 1,222,438.22

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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.