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Finding the Third Proportional to 297,831 and 642,315

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Solution

The third proportional to 297,831 and 642,315 is: 1,385,243.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,831 : 642,315 = 642,315 : x
  2. Step 2: Convert to fraction form
    297,831/642,315 = 642,315/x
  3. Step 3: Cross multiply
    297,831x = 642,315 × 642,315
  4. Step 4: Simplify right side
    297,831x = 412,568,559,225
  5. Step 5: Solve for x
    x = 412,568,559,225/297,831
  6. Step 6: Final answer
    x = 1,385,243.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.