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Finding the Third Proportional to 379,715.25 and 534,117

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Solution

The third proportional to 379,715.25 and 534,117 is: 751,302.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,715.25 : 534,117 = 534,117 : x
  2. Step 2: Convert to fraction form
    379,715.25/534,117 = 534,117/x
  3. Step 3: Cross multiply
    379,715.25x = 534,117 × 534,117
  4. Step 4: Simplify right side
    379,715.25x = 285,280,969,689
  5. Step 5: Solve for x
    x = 285,280,969,689/379,715.25
  6. Step 6: Final answer
    x = 751,302.38

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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.