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Finding the Third Proportional to 296,768 and 628,849

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Solution

The third proportional to 296,768 and 628,849 is: 1,332,525.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,768 : 628,849 = 628,849 : x
  2. Step 2: Convert to fraction form
    296,768/628,849 = 628,849/x
  3. Step 3: Cross multiply
    296,768x = 628,849 × 628,849
  4. Step 4: Simplify right side
    296,768x = 395,451,064,801
  5. Step 5: Solve for x
    x = 395,451,064,801/296,768
  6. Step 6: Final answer
    x = 1,332,525.96

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.