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Finding the Third Proportional to 277,809 and 414,884.25

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Solution

The third proportional to 277,809 and 414,884.25 is: 619,594.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,809 : 414,884.25 = 414,884.25 : x
  2. Step 2: Convert to fraction form
    277,809/414,884.25 = 414,884.25/x
  3. Step 3: Cross multiply
    277,809x = 414,884.25 × 414,884.25
  4. Step 4: Simplify right side
    277,809x = 172,128,940,898.06
  5. Step 5: Solve for x
    x = 172,128,940,898.06/277,809
  6. Step 6: Final answer
    x = 619,594.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.