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Finding the Third Proportional to 447,321 and 664,906.50

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Solution

The third proportional to 447,321 and 664,906.50 is: 988,329.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,321 : 664,906.50 = 664,906.50 : x
  2. Step 2: Convert to fraction form
    447,321/664,906.50 = 664,906.50/x
  3. Step 3: Cross multiply
    447,321x = 664,906.50 × 664,906.50
  4. Step 4: Simplify right side
    447,321x = 442,100,653,742.25
  5. Step 5: Solve for x
    x = 442,100,653,742.25/447,321
  6. Step 6: Final answer
    x = 988,329.75

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.