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Finding the Third Proportional to 341.24 and 457.29

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Solution

The third proportional to 341.24 and 457.29 is: 612.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.24 : 457.29 = 457.29 : x
  2. Step 2: Convert to fraction form
    341.24/457.29 = 457.29/x
  3. Step 3: Cross multiply
    341.24x = 457.29 × 457.29
  4. Step 4: Simplify right side
    341.24x = 209,110.61
  5. Step 5: Solve for x
    x = 209,110.61/341.24
  6. Step 6: Final answer
    x = 612.79

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.