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Finding the Third Proportional to 368,349 and 519,922

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Solution

The third proportional to 368,349 and 519,922 is: 733,866.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,349 : 519,922 = 519,922 : x
  2. Step 2: Convert to fraction form
    368,349/519,922 = 519,922/x
  3. Step 3: Cross multiply
    368,349x = 519,922 × 519,922
  4. Step 4: Simplify right side
    368,349x = 270,318,886,084
  5. Step 5: Solve for x
    x = 270,318,886,084/368,349
  6. Step 6: Final answer
    x = 733,866.21

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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.