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Finding the Third Proportional to 425,194 and 659,317

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Solution

The third proportional to 425,194 and 659,317 is: 1,022,354.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,194 : 659,317 = 659,317 : x
  2. Step 2: Convert to fraction form
    425,194/659,317 = 659,317/x
  3. Step 3: Cross multiply
    425,194x = 659,317 × 659,317
  4. Step 4: Simplify right side
    425,194x = 434,698,906,489
  5. Step 5: Solve for x
    x = 434,698,906,489/425,194
  6. Step 6: Final answer
    x = 1,022,354.28

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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.