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Finding the Third Proportional to 486,652 and 650,962

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Solution

The third proportional to 486,652 and 650,962 is: 870,748.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,652 : 650,962 = 650,962 : x
  2. Step 2: Convert to fraction form
    486,652/650,962 = 650,962/x
  3. Step 3: Cross multiply
    486,652x = 650,962 × 650,962
  4. Step 4: Simplify right side
    486,652x = 423,751,525,444
  5. Step 5: Solve for x
    x = 423,751,525,444/486,652
  6. Step 6: Final answer
    x = 870,748.55

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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.