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Finding the Third Proportional to 281,714 and 586,816

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Solution

The third proportional to 281,714 and 586,816 is: 1,222,349.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,714 : 586,816 = 586,816 : x
  2. Step 2: Convert to fraction form
    281,714/586,816 = 586,816/x
  3. Step 3: Cross multiply
    281,714x = 586,816 × 586,816
  4. Step 4: Simplify right side
    281,714x = 344,353,017,856
  5. Step 5: Solve for x
    x = 344,353,017,856/281,714
  6. Step 6: Final answer
    x = 1,222,349.68

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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.