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Finding the Third Proportional to 252,686 and 552,946

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Solution

The third proportional to 252,686 and 552,946 is: 1,209,996.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,686 : 552,946 = 552,946 : x
  2. Step 2: Convert to fraction form
    252,686/552,946 = 552,946/x
  3. Step 3: Cross multiply
    252,686x = 552,946 × 552,946
  4. Step 4: Simplify right side
    252,686x = 305,749,278,916
  5. Step 5: Solve for x
    x = 305,749,278,916/252,686
  6. Step 6: Final answer
    x = 1,209,996.91

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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.