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Finding the Third Proportional to 299,262 and 419,925

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Solution

The third proportional to 299,262 and 419,925 is: 589,239.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,262 : 419,925 = 419,925 : x
  2. Step 2: Convert to fraction form
    299,262/419,925 = 419,925/x
  3. Step 3: Cross multiply
    299,262x = 419,925 × 419,925
  4. Step 4: Simplify right side
    299,262x = 176,337,005,625
  5. Step 5: Solve for x
    x = 176,337,005,625/299,262
  6. Step 6: Final answer
    x = 589,239.55

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.