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Finding the Third Proportional to 449,957 and 632,836

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Solution

The third proportional to 449,957 and 632,836 is: 890,043.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,957 : 632,836 = 632,836 : x
  2. Step 2: Convert to fraction form
    449,957/632,836 = 632,836/x
  3. Step 3: Cross multiply
    449,957x = 632,836 × 632,836
  4. Step 4: Simplify right side
    449,957x = 400,481,402,896
  5. Step 5: Solve for x
    x = 400,481,402,896/449,957
  6. Step 6: Final answer
    x = 890,043.72

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.