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Finding the Third Proportional to 331,064 and 447,116

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Solution

The third proportional to 331,064 and 447,116 is: 603,849.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,064 : 447,116 = 447,116 : x
  2. Step 2: Convert to fraction form
    331,064/447,116 = 447,116/x
  3. Step 3: Cross multiply
    331,064x = 447,116 × 447,116
  4. Step 4: Simplify right side
    331,064x = 199,912,717,456
  5. Step 5: Solve for x
    x = 199,912,717,456/331,064
  6. Step 6: Final answer
    x = 603,849.16

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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.