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Finding the Third Proportional to 379,716 and 534,045

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Solution

The third proportional to 379,716 and 534,045 is: 751,098.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,716 : 534,045 = 534,045 : x
  2. Step 2: Convert to fraction form
    379,716/534,045 = 534,045/x
  3. Step 3: Cross multiply
    379,716x = 534,045 × 534,045
  4. Step 4: Simplify right side
    379,716x = 285,204,062,025
  5. Step 5: Solve for x
    x = 285,204,062,025/379,716
  6. Step 6: Final answer
    x = 751,098.35

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.