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Finding the Third Proportional to 294.05 and 455.41

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Solution

The third proportional to 294.05 and 455.41 is: 705.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.05 : 455.41 = 455.41 : x
  2. Step 2: Convert to fraction form
    294.05/455.41 = 455.41/x
  3. Step 3: Cross multiply
    294.05x = 455.41 × 455.41
  4. Step 4: Simplify right side
    294.05x = 207,401.97
  5. Step 5: Solve for x
    x = 207,401.97/294.05
  6. Step 6: Final answer
    x = 705.34

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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.