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Finding the Third Proportional to 291,318 and 393,593

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Solution

The third proportional to 291,318 and 393,593 is: 531,774.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,318 : 393,593 = 393,593 : x
  2. Step 2: Convert to fraction form
    291,318/393,593 = 393,593/x
  3. Step 3: Cross multiply
    291,318x = 393,593 × 393,593
  4. Step 4: Simplify right side
    291,318x = 154,915,449,649
  5. Step 5: Solve for x
    x = 154,915,449,649/291,318
  6. Step 6: Final answer
    x = 531,774.38

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.