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Finding the Third Proportional to 600,777 and 929,925

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Solution

The third proportional to 600,777 and 929,925 is: 1,439,403.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,777 : 929,925 = 929,925 : x
  2. Step 2: Convert to fraction form
    600,777/929,925 = 929,925/x
  3. Step 3: Cross multiply
    600,777x = 929,925 × 929,925
  4. Step 4: Simplify right side
    600,777x = 864,760,505,625
  5. Step 5: Solve for x
    x = 864,760,505,625/600,777
  6. Step 6: Final answer
    x = 1,439,403.48

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.