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Finding the Third Proportional to 234,692 and 504,762

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Solution

The third proportional to 234,692 and 504,762 is: 1,085,612.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,692 : 504,762 = 504,762 : x
  2. Step 2: Convert to fraction form
    234,692/504,762 = 504,762/x
  3. Step 3: Cross multiply
    234,692x = 504,762 × 504,762
  4. Step 4: Simplify right side
    234,692x = 254,784,676,644
  5. Step 5: Solve for x
    x = 254,784,676,644/234,692
  6. Step 6: Final answer
    x = 1,085,612.96

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.