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Finding the Third Proportional to 379,460.25 and 567,138.38

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Solution

The third proportional to 379,460.25 and 567,138.38 is: 847,640.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,460.25 : 567,138.38 = 567,138.38 : x
  2. Step 2: Convert to fraction form
    379,460.25/567,138.38 = 567,138.38/x
  3. Step 3: Cross multiply
    379,460.25x = 567,138.38 × 567,138.38
  4. Step 4: Simplify right side
    379,460.25x = 321,645,936,397.64
  5. Step 5: Solve for x
    x = 321,645,936,397.64/379,460.25
  6. Step 6: Final answer
    x = 847,640.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.