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Finding the Third Proportional to 393,714 and 859,599

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Solution

The third proportional to 393,714 and 859,599 is: 1,876,769.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,714 : 859,599 = 859,599 : x
  2. Step 2: Convert to fraction form
    393,714/859,599 = 859,599/x
  3. Step 3: Cross multiply
    393,714x = 859,599 × 859,599
  4. Step 4: Simplify right side
    393,714x = 738,910,440,801
  5. Step 5: Solve for x
    x = 738,910,440,801/393,714
  6. Step 6: Final answer
    x = 1,876,769.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.