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Finding the Third Proportional to 234,019 and 552,240

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Solution

The third proportional to 234,019 and 552,240 is: 1,303,180.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,019 : 552,240 = 552,240 : x
  2. Step 2: Convert to fraction form
    234,019/552,240 = 552,240/x
  3. Step 3: Cross multiply
    234,019x = 552,240 × 552,240
  4. Step 4: Simplify right side
    234,019x = 304,969,017,600
  5. Step 5: Solve for x
    x = 304,969,017,600/234,019
  6. Step 6: Final answer
    x = 1,303,180.59

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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.