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Finding the Third Proportional to 352,096 and 768,707

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Solution

The third proportional to 352,096 and 768,707 is: 1,678,265.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,096 : 768,707 = 768,707 : x
  2. Step 2: Convert to fraction form
    352,096/768,707 = 768,707/x
  3. Step 3: Cross multiply
    352,096x = 768,707 × 768,707
  4. Step 4: Simplify right side
    352,096x = 590,910,451,849
  5. Step 5: Solve for x
    x = 590,910,451,849/352,096
  6. Step 6: Final answer
    x = 1,678,265.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.