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Finding the Third Proportional to 297,948 and 419,762

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Solution

The third proportional to 297,948 and 419,762 is: 591,378.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,948 : 419,762 = 419,762 : x
  2. Step 2: Convert to fraction form
    297,948/419,762 = 419,762/x
  3. Step 3: Cross multiply
    297,948x = 419,762 × 419,762
  4. Step 4: Simplify right side
    297,948x = 176,200,136,644
  5. Step 5: Solve for x
    x = 176,200,136,644/297,948
  6. Step 6: Final answer
    x = 591,378.82

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.