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Finding the Third Proportional to 426,193 and 661,701

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Solution

The third proportional to 426,193 and 661,701 is: 1,027,347.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,193 : 661,701 = 661,701 : x
  2. Step 2: Convert to fraction form
    426,193/661,701 = 661,701/x
  3. Step 3: Cross multiply
    426,193x = 661,701 × 661,701
  4. Step 4: Simplify right side
    426,193x = 437,848,213,401
  5. Step 5: Solve for x
    x = 437,848,213,401/426,193
  6. Step 6: Final answer
    x = 1,027,347.27

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.