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Finding the Third Proportional to 325,599 and 706,965

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Solution

The third proportional to 325,599 and 706,965 is: 1,535,015.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,599 : 706,965 = 706,965 : x
  2. Step 2: Convert to fraction form
    325,599/706,965 = 706,965/x
  3. Step 3: Cross multiply
    325,599x = 706,965 × 706,965
  4. Step 4: Simplify right side
    325,599x = 499,799,511,225
  5. Step 5: Solve for x
    x = 499,799,511,225/325,599
  6. Step 6: Final answer
    x = 1,535,015.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.