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Finding the Third Proportional to 397,256 and 907,596

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Solution

The third proportional to 397,256 and 907,596 is: 2,073,550.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,256 : 907,596 = 907,596 : x
  2. Step 2: Convert to fraction form
    397,256/907,596 = 907,596/x
  3. Step 3: Cross multiply
    397,256x = 907,596 × 907,596
  4. Step 4: Simplify right side
    397,256x = 823,730,499,216
  5. Step 5: Solve for x
    x = 823,730,499,216/397,256
  6. Step 6: Final answer
    x = 2,073,550.81

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.