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Finding the Third Proportional to 325,854 and 455,226.75

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Solution

The third proportional to 325,854 and 455,226.75 is: 635,963.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,854 : 455,226.75 = 455,226.75 : x
  2. Step 2: Convert to fraction form
    325,854/455,226.75 = 455,226.75/x
  3. Step 3: Cross multiply
    325,854x = 455,226.75 × 455,226.75
  4. Step 4: Simplify right side
    325,854x = 207,231,393,915.56
  5. Step 5: Solve for x
    x = 207,231,393,915.56/325,854
  6. Step 6: Final answer
    x = 635,963.94

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.