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Finding the Third Proportional to 277,310.25 and 567,762.75

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Solution

The third proportional to 277,310.25 and 567,762.75 is: 1,162,432.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,310.25 : 567,762.75 = 567,762.75 : x
  2. Step 2: Convert to fraction form
    277,310.25/567,762.75 = 567,762.75/x
  3. Step 3: Cross multiply
    277,310.25x = 567,762.75 × 567,762.75
  4. Step 4: Simplify right side
    277,310.25x = 322,354,540,287.56
  5. Step 5: Solve for x
    x = 322,354,540,287.56/277,310.25
  6. Step 6: Final answer
    x = 1,162,432.84

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.