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Finding the Third Proportional to 325,871 and 681,535

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Solution

The third proportional to 325,871 and 681,535 is: 1,425,379.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,871 : 681,535 = 681,535 : x
  2. Step 2: Convert to fraction form
    325,871/681,535 = 681,535/x
  3. Step 3: Cross multiply
    325,871x = 681,535 × 681,535
  4. Step 4: Simplify right side
    325,871x = 464,489,956,225
  5. Step 5: Solve for x
    x = 464,489,956,225/325,871
  6. Step 6: Final answer
    x = 1,425,379.85

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.