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Finding the Third Proportional to 234,817 and 356,714

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Solution

The third proportional to 234,817 and 356,714 is: 541,889.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,817 : 356,714 = 356,714 : x
  2. Step 2: Convert to fraction form
    234,817/356,714 = 356,714/x
  3. Step 3: Cross multiply
    234,817x = 356,714 × 356,714
  4. Step 4: Simplify right side
    234,817x = 127,244,877,796
  5. Step 5: Solve for x
    x = 127,244,877,796/234,817
  6. Step 6: Final answer
    x = 541,889.55

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.