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Finding the Third Proportional to 234,048 and 512,544

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Solution

The third proportional to 234,048 and 512,544 is: 1,122,425.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,048 : 512,544 = 512,544 : x
  2. Step 2: Convert to fraction form
    234,048/512,544 = 512,544/x
  3. Step 3: Cross multiply
    234,048x = 512,544 × 512,544
  4. Step 4: Simplify right side
    234,048x = 262,701,351,936
  5. Step 5: Solve for x
    x = 262,701,351,936/234,048
  6. Step 6: Final answer
    x = 1,122,425.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.