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Finding the Third Proportional to 412,287.75 and 895,077

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Solution

The third proportional to 412,287.75 and 895,077 is: 1,943,212.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,287.75 : 895,077 = 895,077 : x
  2. Step 2: Convert to fraction form
    412,287.75/895,077 = 895,077/x
  3. Step 3: Cross multiply
    412,287.75x = 895,077 × 895,077
  4. Step 4: Simplify right side
    412,287.75x = 801,162,835,929
  5. Step 5: Solve for x
    x = 801,162,835,929/412,287.75
  6. Step 6: Final answer
    x = 1,943,212.81

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.