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Finding the Third Proportional to 258,244.50 and 562,218

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Solution

The third proportional to 258,244.50 and 562,218 is: 1,223,991.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,244.50 : 562,218 = 562,218 : x
  2. Step 2: Convert to fraction form
    258,244.50/562,218 = 562,218/x
  3. Step 3: Cross multiply
    258,244.50x = 562,218 × 562,218
  4. Step 4: Simplify right side
    258,244.50x = 316,089,079,524
  5. Step 5: Solve for x
    x = 316,089,079,524/258,244.50
  6. Step 6: Final answer
    x = 1,223,991.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.