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Finding the Third Proportional to 434,606 and 672,375

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Solution

The third proportional to 434,606 and 672,375 is: 1,040,225.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,606 : 672,375 = 672,375 : x
  2. Step 2: Convert to fraction form
    434,606/672,375 = 672,375/x
  3. Step 3: Cross multiply
    434,606x = 672,375 × 672,375
  4. Step 4: Simplify right side
    434,606x = 452,088,140,625
  5. Step 5: Solve for x
    x = 452,088,140,625/434,606
  6. Step 6: Final answer
    x = 1,040,225.26

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.