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Finding the Third Proportional to 449,955 and 632,832.75

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Solution

The third proportional to 449,955 and 632,832.75 is: 890,038.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,955 : 632,832.75 = 632,832.75 : x
  2. Step 2: Convert to fraction form
    449,955/632,832.75 = 632,832.75/x
  3. Step 3: Cross multiply
    449,955x = 632,832.75 × 632,832.75
  4. Step 4: Simplify right side
    449,955x = 400,477,289,472.56
  5. Step 5: Solve for x
    x = 400,477,289,472.56/449,955
  6. Step 6: Final answer
    x = 890,038.54

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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.