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Finding the Third Proportional to 352,895 and 769,234

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Solution

The third proportional to 352,895 and 769,234 is: 1,676,762.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,895 : 769,234 = 769,234 : x
  2. Step 2: Convert to fraction form
    352,895/769,234 = 769,234/x
  3. Step 3: Cross multiply
    352,895x = 769,234 × 769,234
  4. Step 4: Simplify right side
    352,895x = 591,720,946,756
  5. Step 5: Solve for x
    x = 591,720,946,756/352,895
  6. Step 6: Final answer
    x = 1,676,762.06

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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.