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Finding the Third Proportional to 248,589 and 428,044.50

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Solution

The third proportional to 248,589 and 428,044.50 is: 737,048.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,589 : 428,044.50 = 428,044.50 : x
  2. Step 2: Convert to fraction form
    248,589/428,044.50 = 428,044.50/x
  3. Step 3: Cross multiply
    248,589x = 428,044.50 × 428,044.50
  4. Step 4: Simplify right side
    248,589x = 183,222,093,980.25
  5. Step 5: Solve for x
    x = 183,222,093,980.25/248,589
  6. Step 6: Final answer
    x = 737,048.28

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Why These Related Problems?

These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.