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Finding the Third Proportional to 490,462 and 659,102

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Solution

The third proportional to 490,462 and 659,102 is: 885,727.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,462 : 659,102 = 659,102 : x
  2. Step 2: Convert to fraction form
    490,462/659,102 = 659,102/x
  3. Step 3: Cross multiply
    490,462x = 659,102 × 659,102
  4. Step 4: Simplify right side
    490,462x = 434,415,446,404
  5. Step 5: Solve for x
    x = 434,415,446,404/490,462
  6. Step 6: Final answer
    x = 885,727.02

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.