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Finding the Third Proportional to 325,134 and 698,655.38

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Solution

The third proportional to 325,134 and 698,655.38 is: 1,501,286.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,134 : 698,655.38 = 698,655.38 : x
  2. Step 2: Convert to fraction form
    325,134/698,655.38 = 698,655.38/x
  3. Step 3: Cross multiply
    325,134x = 698,655.38 × 698,655.38
  4. Step 4: Simplify right side
    325,134x = 488,119,333,016.39
  5. Step 5: Solve for x
    x = 488,119,333,016.39/325,134
  6. Step 6: Final answer
    x = 1,501,286.65

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.