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Finding the Third Proportional to 234,012 and 552,225

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Solution

The third proportional to 234,012 and 552,225 is: 1,303,148.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,012 : 552,225 = 552,225 : x
  2. Step 2: Convert to fraction form
    234,012/552,225 = 552,225/x
  3. Step 3: Cross multiply
    234,012x = 552,225 × 552,225
  4. Step 4: Simplify right side
    234,012x = 304,952,450,625
  5. Step 5: Solve for x
    x = 304,952,450,625/234,012
  6. Step 6: Final answer
    x = 1,303,148.77

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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.