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Finding the Third Proportional to 238,469.63 and 505,370.25

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Solution

The third proportional to 238,469.63 and 505,370.25 is: 1,070,992.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,469.63 : 505,370.25 = 505,370.25 : x
  2. Step 2: Convert to fraction form
    238,469.63/505,370.25 = 505,370.25/x
  3. Step 3: Cross multiply
    238,469.63x = 505,370.25 × 505,370.25
  4. Step 4: Simplify right side
    238,469.63x = 255,399,089,585.06
  5. Step 5: Solve for x
    x = 255,399,089,585.06/238,469.63
  6. Step 6: Final answer
    x = 1,070,992.12

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.