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Finding the Third Proportional to 221,761 and 347,477

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Solution

The third proportional to 221,761 and 347,477 is: 544,461.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,761 : 347,477 = 347,477 : x
  2. Step 2: Convert to fraction form
    221,761/347,477 = 347,477/x
  3. Step 3: Cross multiply
    221,761x = 347,477 × 347,477
  4. Step 4: Simplify right side
    221,761x = 120,740,265,529
  5. Step 5: Solve for x
    x = 120,740,265,529/221,761
  6. Step 6: Final answer
    x = 544,461.22

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.