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Finding the Third Proportional to 350,937 and 718,467.75

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Solution

The third proportional to 350,937 and 718,467.75 is: 1,470,907.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,937 : 718,467.75 = 718,467.75 : x
  2. Step 2: Convert to fraction form
    350,937/718,467.75 = 718,467.75/x
  3. Step 3: Cross multiply
    350,937x = 718,467.75 × 718,467.75
  4. Step 4: Simplify right side
    350,937x = 516,195,907,790.06
  5. Step 5: Solve for x
    x = 516,195,907,790.06/350,937
  6. Step 6: Final answer
    x = 1,470,907.62

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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.