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Finding the Third Proportional to 276,354 and 419,516

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Solution

The third proportional to 276,354 and 419,516 is: 636,841.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,354 : 419,516 = 419,516 : x
  2. Step 2: Convert to fraction form
    276,354/419,516 = 419,516/x
  3. Step 3: Cross multiply
    276,354x = 419,516 × 419,516
  4. Step 4: Simplify right side
    276,354x = 175,993,674,256
  5. Step 5: Solve for x
    x = 175,993,674,256/276,354
  6. Step 6: Final answer
    x = 636,841.42

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.