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Finding the Third Proportional to 352,092 and 768,699

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Solution

The third proportional to 352,092 and 768,699 is: 1,678,249.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,092 : 768,699 = 768,699 : x
  2. Step 2: Convert to fraction form
    352,092/768,699 = 768,699/x
  3. Step 3: Cross multiply
    352,092x = 768,699 × 768,699
  4. Step 4: Simplify right side
    352,092x = 590,898,152,601
  5. Step 5: Solve for x
    x = 590,898,152,601/352,092
  6. Step 6: Final answer
    x = 1,678,249.30

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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.