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Finding the Third Proportional to 293,958 and 454,194

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Solution

The third proportional to 293,958 and 454,194 is: 701,774.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,958 : 454,194 = 454,194 : x
  2. Step 2: Convert to fraction form
    293,958/454,194 = 454,194/x
  3. Step 3: Cross multiply
    293,958x = 454,194 × 454,194
  4. Step 4: Simplify right side
    293,958x = 206,292,189,636
  5. Step 5: Solve for x
    x = 206,292,189,636/293,958
  6. Step 6: Final answer
    x = 701,774.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.