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Finding the Third Proportional to 254,861 and 554,026

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Solution

The third proportional to 254,861 and 554,026 is: 1,204,361.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,861 : 554,026 = 554,026 : x
  2. Step 2: Convert to fraction form
    254,861/554,026 = 554,026/x
  3. Step 3: Cross multiply
    254,861x = 554,026 × 554,026
  4. Step 4: Simplify right side
    254,861x = 306,944,808,676
  5. Step 5: Solve for x
    x = 306,944,808,676/254,861
  6. Step 6: Final answer
    x = 1,204,361.63

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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.