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Finding the Third Proportional to 252,679 and 552,836

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Solution

The third proportional to 252,679 and 552,836 is: 1,209,549.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,679 : 552,836 = 552,836 : x
  2. Step 2: Convert to fraction form
    252,679/552,836 = 552,836/x
  3. Step 3: Cross multiply
    252,679x = 552,836 × 552,836
  4. Step 4: Simplify right side
    252,679x = 305,627,642,896
  5. Step 5: Solve for x
    x = 305,627,642,896/252,679
  6. Step 6: Final answer
    x = 1,209,549.04

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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.