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Finding the Third Proportional to 360,414 and 519,165

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Solution

The third proportional to 360,414 and 519,165 is: 747,840.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,414 : 519,165 = 519,165 : x
  2. Step 2: Convert to fraction form
    360,414/519,165 = 519,165/x
  3. Step 3: Cross multiply
    360,414x = 519,165 × 519,165
  4. Step 4: Simplify right side
    360,414x = 269,532,297,225
  5. Step 5: Solve for x
    x = 269,532,297,225/360,414
  6. Step 6: Final answer
    x = 747,840.81

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.