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Finding the Third Proportional to 395,564 and 613,632

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Solution

The third proportional to 395,564 and 613,632 is: 951,917.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,564 : 613,632 = 613,632 : x
  2. Step 2: Convert to fraction form
    395,564/613,632 = 613,632/x
  3. Step 3: Cross multiply
    395,564x = 613,632 × 613,632
  4. Step 4: Simplify right side
    395,564x = 376,544,231,424
  5. Step 5: Solve for x
    x = 376,544,231,424/395,564
  6. Step 6: Final answer
    x = 951,917.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.