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Finding the Third Proportional to 395,572 and 613,644

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Solution

The third proportional to 395,572 and 613,644 is: 951,935.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,572 : 613,644 = 613,644 : x
  2. Step 2: Convert to fraction form
    395,572/613,644 = 613,644/x
  3. Step 3: Cross multiply
    395,572x = 613,644 × 613,644
  4. Step 4: Simplify right side
    395,572x = 376,558,958,736
  5. Step 5: Solve for x
    x = 376,558,958,736/395,572
  6. Step 6: Final answer
    x = 951,935.32

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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.