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Finding the Third Proportional to 434,733 and 665,067

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Solution

The third proportional to 434,733 and 665,067 is: 1,017,438.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,733 : 665,067 = 665,067 : x
  2. Step 2: Convert to fraction form
    434,733/665,067 = 665,067/x
  3. Step 3: Cross multiply
    434,733x = 665,067 × 665,067
  4. Step 4: Simplify right side
    434,733x = 442,314,114,489
  5. Step 5: Solve for x
    x = 442,314,114,489/434,733
  6. Step 6: Final answer
    x = 1,017,438.55

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.