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Finding the Third Proportional to 315,936 and 695,916

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Solution

The third proportional to 315,936 and 695,916 is: 1,532,902.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,936 : 695,916 = 695,916 : x
  2. Step 2: Convert to fraction form
    315,936/695,916 = 695,916/x
  3. Step 3: Cross multiply
    315,936x = 695,916 × 695,916
  4. Step 4: Simplify right side
    315,936x = 484,299,079,056
  5. Step 5: Solve for x
    x = 484,299,079,056/315,936
  6. Step 6: Final answer
    x = 1,532,902.48

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.