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Finding the Third Proportional to 315,936 and 500,192

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Solution

The third proportional to 315,936 and 500,192 is: 791,907.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,936 : 500,192 = 500,192 : x
  2. Step 2: Convert to fraction form
    315,936/500,192 = 500,192/x
  3. Step 3: Cross multiply
    315,936x = 500,192 × 500,192
  4. Step 4: Simplify right side
    315,936x = 250,192,036,864
  5. Step 5: Solve for x
    x = 250,192,036,864/315,936
  6. Step 6: Final answer
    x = 791,907.34

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.