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Finding the Third Proportional to 408,242 and 633,675

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Solution

The third proportional to 408,242 and 633,675 is: 983,593.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,242 : 633,675 = 633,675 : x
  2. Step 2: Convert to fraction form
    408,242/633,675 = 633,675/x
  3. Step 3: Cross multiply
    408,242x = 633,675 × 633,675
  4. Step 4: Simplify right side
    408,242x = 401,544,005,625
  5. Step 5: Solve for x
    x = 401,544,005,625/408,242
  6. Step 6: Final answer
    x = 983,593.08

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.