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Finding the Third Proportional to 367,380 and 519,984

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Solution

The third proportional to 367,380 and 519,984 is: 735,977.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,380 : 519,984 = 519,984 : x
  2. Step 2: Convert to fraction form
    367,380/519,984 = 519,984/x
  3. Step 3: Cross multiply
    367,380x = 519,984 × 519,984
  4. Step 4: Simplify right side
    367,380x = 270,383,360,256
  5. Step 5: Solve for x
    x = 270,383,360,256/367,380
  6. Step 6: Final answer
    x = 735,977.35

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.