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Finding the Third Proportional to 350,942.25 and 718,509

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Solution

The third proportional to 350,942.25 and 718,509 is: 1,471,054.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,942.25 : 718,509 = 718,509 : x
  2. Step 2: Convert to fraction form
    350,942.25/718,509 = 718,509/x
  3. Step 3: Cross multiply
    350,942.25x = 718,509 × 718,509
  4. Step 4: Simplify right side
    350,942.25x = 516,255,183,081
  5. Step 5: Solve for x
    x = 516,255,183,081/350,942.25
  6. Step 6: Final answer
    x = 1,471,054.52

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Why These Related Problems?

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