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Finding the Third Proportional to 289,256 and 628,265

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Solution

The third proportional to 289,256 and 628,265 is: 1,364,593.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,256 : 628,265 = 628,265 : x
  2. Step 2: Convert to fraction form
    289,256/628,265 = 628,265/x
  3. Step 3: Cross multiply
    289,256x = 628,265 × 628,265
  4. Step 4: Simplify right side
    289,256x = 394,716,910,225
  5. Step 5: Solve for x
    x = 394,716,910,225/289,256
  6. Step 6: Final answer
    x = 1,364,593.68

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Why These Related Problems?

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