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Finding the Third Proportional to 292,144 and 441,375

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Solution

The third proportional to 292,144 and 441,375 is: 666,835.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,144 : 441,375 = 441,375 : x
  2. Step 2: Convert to fraction form
    292,144/441,375 = 441,375/x
  3. Step 3: Cross multiply
    292,144x = 441,375 × 441,375
  4. Step 4: Simplify right side
    292,144x = 194,811,890,625
  5. Step 5: Solve for x
    x = 194,811,890,625/292,144
  6. Step 6: Final answer
    x = 666,835.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.