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Finding the Third Proportional to 291,334 and 419,775

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Solution

The third proportional to 291,334 and 419,775 is: 604,842.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,334 : 419,775 = 419,775 : x
  2. Step 2: Convert to fraction form
    291,334/419,775 = 419,775/x
  3. Step 3: Cross multiply
    291,334x = 419,775 × 419,775
  4. Step 4: Simplify right side
    291,334x = 176,211,050,625
  5. Step 5: Solve for x
    x = 176,211,050,625/291,334
  6. Step 6: Final answer
    x = 604,842.04

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.