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Finding the Third Proportional to 254,025 and 568,194

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Solution

The third proportional to 254,025 and 568,194 is: 1,270,915.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,025 : 568,194 = 568,194 : x
  2. Step 2: Convert to fraction form
    254,025/568,194 = 568,194/x
  3. Step 3: Cross multiply
    254,025x = 568,194 × 568,194
  4. Step 4: Simplify right side
    254,025x = 322,844,421,636
  5. Step 5: Solve for x
    x = 322,844,421,636/254,025
  6. Step 6: Final answer
    x = 1,270,915.94

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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.