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Finding the Third Proportional to 254,024 and 568,192

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Solution

The third proportional to 254,024 and 568,192 is: 1,270,912.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,024 : 568,192 = 568,192 : x
  2. Step 2: Convert to fraction form
    254,024/568,192 = 568,192/x
  3. Step 3: Cross multiply
    254,024x = 568,192 × 568,192
  4. Step 4: Simplify right side
    254,024x = 322,842,148,864
  5. Step 5: Solve for x
    x = 322,842,148,864/254,024
  6. Step 6: Final answer
    x = 1,270,912.00

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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.