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Finding the Third Proportional to 408,795 and 638,021.25

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Solution

The third proportional to 408,795 and 638,021.25 is: 995,783.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,795 : 638,021.25 = 638,021.25 : x
  2. Step 2: Convert to fraction form
    408,795/638,021.25 = 638,021.25/x
  3. Step 3: Cross multiply
    408,795x = 638,021.25 × 638,021.25
  4. Step 4: Simplify right side
    408,795x = 407,071,115,451.56
  5. Step 5: Solve for x
    x = 407,071,115,451.56/408,795
  6. Step 6: Final answer
    x = 995,783.01

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.