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Finding the Third Proportional to 254,619 and 553,027

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Solution

The third proportional to 254,619 and 553,027 is: 1,201,162.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,619 : 553,027 = 553,027 : x
  2. Step 2: Convert to fraction form
    254,619/553,027 = 553,027/x
  3. Step 3: Cross multiply
    254,619x = 553,027 × 553,027
  4. Step 4: Simplify right side
    254,619x = 305,838,862,729
  5. Step 5: Solve for x
    x = 305,838,862,729/254,619
  6. Step 6: Final answer
    x = 1,201,162.77

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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.