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Finding the Third Proportional to 350,949.75 and 718,499.25

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Solution

The third proportional to 350,949.75 and 718,499.25 is: 1,470,983.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,949.75 : 718,499.25 = 718,499.25 : x
  2. Step 2: Convert to fraction form
    350,949.75/718,499.25 = 718,499.25/x
  3. Step 3: Cross multiply
    350,949.75x = 718,499.25 × 718,499.25
  4. Step 4: Simplify right side
    350,949.75x = 516,241,172,250.56
  5. Step 5: Solve for x
    x = 516,241,172,250.56/350,949.75
  6. Step 6: Final answer
    x = 1,470,983.16

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.