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Finding the Third Proportional to 234,021 and 552,245

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Solution

The third proportional to 234,021 and 552,245 is: 1,303,193.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,021 : 552,245 = 552,245 : x
  2. Step 2: Convert to fraction form
    234,021/552,245 = 552,245/x
  3. Step 3: Cross multiply
    234,021x = 552,245 × 552,245
  4. Step 4: Simplify right side
    234,021x = 304,974,540,025
  5. Step 5: Solve for x
    x = 304,974,540,025/234,021
  6. Step 6: Final answer
    x = 1,303,193.05

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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.