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Finding the Third Proportional to 379,838 and 563,901

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Solution

The third proportional to 379,838 and 563,901 is: 837,157.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,838 : 563,901 = 563,901 : x
  2. Step 2: Convert to fraction form
    379,838/563,901 = 563,901/x
  3. Step 3: Cross multiply
    379,838x = 563,901 × 563,901
  4. Step 4: Simplify right side
    379,838x = 317,984,337,801
  5. Step 5: Solve for x
    x = 317,984,337,801/379,838
  6. Step 6: Final answer
    x = 837,157.78

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.