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Finding the Third Proportional to 252,416.25 and 552,349.13

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Solution

The third proportional to 252,416.25 and 552,349.13 is: 1,208,676.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,416.25 : 552,349.13 = 552,349.13 : x
  2. Step 2: Convert to fraction form
    252,416.25/552,349.13 = 552,349.13/x
  3. Step 3: Cross multiply
    252,416.25x = 552,349.13 × 552,349.13
  4. Step 4: Simplify right side
    252,416.25x = 305,089,555,888.27
  5. Step 5: Solve for x
    x = 305,089,555,888.27/252,416.25
  6. Step 6: Final answer
    x = 1,208,676.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.