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Finding the Third Proportional to 449,967 and 632,851

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Solution

The third proportional to 449,967 and 632,851 is: 890,066.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,967 : 632,851 = 632,851 : x
  2. Step 2: Convert to fraction form
    449,967/632,851 = 632,851/x
  3. Step 3: Cross multiply
    449,967x = 632,851 × 632,851
  4. Step 4: Simplify right side
    449,967x = 400,500,388,201
  5. Step 5: Solve for x
    x = 400,500,388,201/449,967
  6. Step 6: Final answer
    x = 890,066.13

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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.