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Finding the Third Proportional to 447,968.25 and 693,621

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Solution

The third proportional to 447,968.25 and 693,621 is: 1,073,982.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,968.25 : 693,621 = 693,621 : x
  2. Step 2: Convert to fraction form
    447,968.25/693,621 = 693,621/x
  3. Step 3: Cross multiply
    447,968.25x = 693,621 × 693,621
  4. Step 4: Simplify right side
    447,968.25x = 481,110,091,641
  5. Step 5: Solve for x
    x = 481,110,091,641/447,968.25
  6. Step 6: Final answer
    x = 1,073,982.57

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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.