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Finding the Third Proportional to 321,739.50 and 686,226

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Solution

The third proportional to 321,739.50 and 686,226 is: 1,463,625.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,739.50 : 686,226 = 686,226 : x
  2. Step 2: Convert to fraction form
    321,739.50/686,226 = 686,226/x
  3. Step 3: Cross multiply
    321,739.50x = 686,226 × 686,226
  4. Step 4: Simplify right side
    321,739.50x = 470,906,123,076
  5. Step 5: Solve for x
    x = 470,906,123,076/321,739.50
  6. Step 6: Final answer
    x = 1,463,625.46

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.