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Finding the Third Proportional to 234,448 and 513,824

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Solution

The third proportional to 234,448 and 513,824 is: 1,126,113.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,448 : 513,824 = 513,824 : x
  2. Step 2: Convert to fraction form
    234,448/513,824 = 513,824/x
  3. Step 3: Cross multiply
    234,448x = 513,824 × 513,824
  4. Step 4: Simplify right side
    234,448x = 264,015,102,976
  5. Step 5: Solve for x
    x = 264,015,102,976/234,448
  6. Step 6: Final answer
    x = 1,126,113.69

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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.