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Finding the Third Proportional to 379,033 and 567,961

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Solution

The third proportional to 379,033 and 567,961 is: 851,059.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,033 : 567,961 = 567,961 : x
  2. Step 2: Convert to fraction form
    379,033/567,961 = 567,961/x
  3. Step 3: Cross multiply
    379,033x = 567,961 × 567,961
  4. Step 4: Simplify right side
    379,033x = 322,579,697,521
  5. Step 5: Solve for x
    x = 322,579,697,521/379,033
  6. Step 6: Final answer
    x = 851,059.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.