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Finding the Third Proportional to 382,917.38 and 832,983.75

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Solution

The third proportional to 382,917.38 and 832,983.75 is: 1,812,040.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,917.38 : 832,983.75 = 832,983.75 : x
  2. Step 2: Convert to fraction form
    382,917.38/832,983.75 = 832,983.75/x
  3. Step 3: Cross multiply
    382,917.38x = 832,983.75 × 832,983.75
  4. Step 4: Simplify right side
    382,917.38x = 693,861,927,764.06
  5. Step 5: Solve for x
    x = 693,861,927,764.06/382,917.38
  6. Step 6: Final answer
    x = 1,812,040.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.