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Finding the Third Proportional to 254,023 and 568,190

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Solution

The third proportional to 254,023 and 568,190 is: 1,270,908.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,023 : 568,190 = 568,190 : x
  2. Step 2: Convert to fraction form
    254,023/568,190 = 568,190/x
  3. Step 3: Cross multiply
    254,023x = 568,190 × 568,190
  4. Step 4: Simplify right side
    254,023x = 322,839,876,100
  5. Step 5: Solve for x
    x = 322,839,876,100/254,023
  6. Step 6: Final answer
    x = 1,270,908.05

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.