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Finding the Third Proportional to 429,660 and 644,192

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Solution

The third proportional to 429,660 and 644,192 is: 965,841.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,660 : 644,192 = 644,192 : x
  2. Step 2: Convert to fraction form
    429,660/644,192 = 644,192/x
  3. Step 3: Cross multiply
    429,660x = 644,192 × 644,192
  4. Step 4: Simplify right side
    429,660x = 414,983,332,864
  5. Step 5: Solve for x
    x = 414,983,332,864/429,660
  6. Step 6: Final answer
    x = 965,841.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.