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Finding the Third Proportional to 449,936 and 632,808

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Solution

The third proportional to 449,936 and 632,808 is: 890,006.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,936 : 632,808 = 632,808 : x
  2. Step 2: Convert to fraction form
    449,936/632,808 = 632,808/x
  3. Step 3: Cross multiply
    449,936x = 632,808 × 632,808
  4. Step 4: Simplify right side
    449,936x = 400,445,964,864
  5. Step 5: Solve for x
    x = 400,445,964,864/449,936
  6. Step 6: Final answer
    x = 890,006.50

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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.