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Finding the Third Proportional to 322,362 and 414,925

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Solution

The third proportional to 322,362 and 414,925 is: 534,066.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,362 : 414,925 = 414,925 : x
  2. Step 2: Convert to fraction form
    322,362/414,925 = 414,925/x
  3. Step 3: Cross multiply
    322,362x = 414,925 × 414,925
  4. Step 4: Simplify right side
    322,362x = 172,162,755,625
  5. Step 5: Solve for x
    x = 172,162,755,625/322,362
  6. Step 6: Final answer
    x = 534,066.53

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.