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Finding the Third Proportional to 325,956 and 721,896

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Solution

The third proportional to 325,956 and 721,896 is: 1,598,785.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,956 : 721,896 = 721,896 : x
  2. Step 2: Convert to fraction form
    325,956/721,896 = 721,896/x
  3. Step 3: Cross multiply
    325,956x = 721,896 × 721,896
  4. Step 4: Simplify right side
    325,956x = 521,133,834,816
  5. Step 5: Solve for x
    x = 521,133,834,816/325,956
  6. Step 6: Final answer
    x = 1,598,785.83

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.