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Finding the Third Proportional to 234,234 and 552,393

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Solution

The third proportional to 234,234 and 552,393 is: 1,302,705.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,234 : 552,393 = 552,393 : x
  2. Step 2: Convert to fraction form
    234,234/552,393 = 552,393/x
  3. Step 3: Cross multiply
    234,234x = 552,393 × 552,393
  4. Step 4: Simplify right side
    234,234x = 305,138,026,449
  5. Step 5: Solve for x
    x = 305,138,026,449/234,234
  6. Step 6: Final answer
    x = 1,302,705.95

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.