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Finding the Third Proportional to 291,756 and 675,831

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Solution

The third proportional to 291,756 and 675,831 is: 1,565,512.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,756 : 675,831 = 675,831 : x
  2. Step 2: Convert to fraction form
    291,756/675,831 = 675,831/x
  3. Step 3: Cross multiply
    291,756x = 675,831 × 675,831
  4. Step 4: Simplify right side
    291,756x = 456,747,540,561
  5. Step 5: Solve for x
    x = 456,747,540,561/291,756
  6. Step 6: Final answer
    x = 1,565,512.07

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.