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Finding the Third Proportional to 447,972 and 693,625.50

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Solution

The third proportional to 447,972 and 693,625.50 is: 1,073,987.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,972 : 693,625.50 = 693,625.50 : x
  2. Step 2: Convert to fraction form
    447,972/693,625.50 = 693,625.50/x
  3. Step 3: Cross multiply
    447,972x = 693,625.50 × 693,625.50
  4. Step 4: Simplify right side
    447,972x = 481,116,334,250.25
  5. Step 5: Solve for x
    x = 481,116,334,250.25/447,972
  6. Step 6: Final answer
    x = 1,073,987.51

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