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Finding the Third Proportional to 373,381 and 566,997

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Solution

The third proportional to 373,381 and 566,997 is: 861,012.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,381 : 566,997 = 566,997 : x
  2. Step 2: Convert to fraction form
    373,381/566,997 = 566,997/x
  3. Step 3: Cross multiply
    373,381x = 566,997 × 566,997
  4. Step 4: Simplify right side
    373,381x = 321,485,598,009
  5. Step 5: Solve for x
    x = 321,485,598,009/373,381
  6. Step 6: Final answer
    x = 861,012.20

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.