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Finding the Third Proportional to 321,717 and 706,884

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Solution

The third proportional to 321,717 and 706,884 is: 1,553,181.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,717 : 706,884 = 706,884 : x
  2. Step 2: Convert to fraction form
    321,717/706,884 = 706,884/x
  3. Step 3: Cross multiply
    321,717x = 706,884 × 706,884
  4. Step 4: Simplify right side
    321,717x = 499,684,989,456
  5. Step 5: Solve for x
    x = 499,684,989,456/321,717
  6. Step 6: Final answer
    x = 1,553,181.80

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.