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Finding the Third Proportional to 350,940 and 718,474.50

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Solution

The third proportional to 350,940 and 718,474.50 is: 1,470,922.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,940 : 718,474.50 = 718,474.50 : x
  2. Step 2: Convert to fraction form
    350,940/718,474.50 = 718,474.50/x
  3. Step 3: Cross multiply
    350,940x = 718,474.50 × 718,474.50
  4. Step 4: Simplify right side
    350,940x = 516,205,607,150.25
  5. Step 5: Solve for x
    x = 516,205,607,150.25/350,940
  6. Step 6: Final answer
    x = 1,470,922.69

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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.