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Finding the Third Proportional to 392,529 and 604,183.50

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Solution

The third proportional to 392,529 and 604,183.50 is: 929,963.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,529 : 604,183.50 = 604,183.50 : x
  2. Step 2: Convert to fraction form
    392,529/604,183.50 = 604,183.50/x
  3. Step 3: Cross multiply
    392,529x = 604,183.50 × 604,183.50
  4. Step 4: Simplify right side
    392,529x = 365,037,701,672.25
  5. Step 5: Solve for x
    x = 365,037,701,672.25/392,529
  6. Step 6: Final answer
    x = 929,963.65

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.