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Finding the Third Proportional to 379,811 and 593,045

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Solution

The third proportional to 379,811 and 593,045 is: 925,993.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,811 : 593,045 = 593,045 : x
  2. Step 2: Convert to fraction form
    379,811/593,045 = 593,045/x
  3. Step 3: Cross multiply
    379,811x = 593,045 × 593,045
  4. Step 4: Simplify right side
    379,811x = 351,702,372,025
  5. Step 5: Solve for x
    x = 351,702,372,025/379,811
  6. Step 6: Final answer
    x = 925,993.12

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.