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Finding the Third Proportional to 449,935 and 632,802

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Solution

The third proportional to 449,935 and 632,802 is: 889,991.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,935 : 632,802 = 632,802 : x
  2. Step 2: Convert to fraction form
    449,935/632,802 = 632,802/x
  3. Step 3: Cross multiply
    449,935x = 632,802 × 632,802
  4. Step 4: Simplify right side
    449,935x = 400,438,371,204
  5. Step 5: Solve for x
    x = 400,438,371,204/449,935
  6. Step 6: Final answer
    x = 889,991.60

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Why These Related Problems?

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