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Finding the Third Proportional to 254,223 and 552,682

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Solution

The third proportional to 254,223 and 552,682 is: 1,201,533.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,223 : 552,682 = 552,682 : x
  2. Step 2: Convert to fraction form
    254,223/552,682 = 552,682/x
  3. Step 3: Cross multiply
    254,223x = 552,682 × 552,682
  4. Step 4: Simplify right side
    254,223x = 305,457,393,124
  5. Step 5: Solve for x
    x = 305,457,393,124/254,223
  6. Step 6: Final answer
    x = 1,201,533.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.