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Finding the Third Proportional to 321,652 and 686,052

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Solution

The third proportional to 321,652 and 686,052 is: 1,463,281.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,652 : 686,052 = 686,052 : x
  2. Step 2: Convert to fraction form
    321,652/686,052 = 686,052/x
  3. Step 3: Cross multiply
    321,652x = 686,052 × 686,052
  4. Step 4: Simplify right side
    321,652x = 470,667,346,704
  5. Step 5: Solve for x
    x = 470,667,346,704/321,652
  6. Step 6: Final answer
    x = 1,463,281.27

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Why These Related Problems?

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