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Finding the Third Proportional to 341.72 and 529.66

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Solution

The third proportional to 341.72 and 529.66 is: 820.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.72 : 529.66 = 529.66 : x
  2. Step 2: Convert to fraction form
    341.72/529.66 = 529.66/x
  3. Step 3: Cross multiply
    341.72x = 529.66 × 529.66
  4. Step 4: Simplify right side
    341.72x = 280,544.02
  5. Step 5: Solve for x
    x = 280,544.02/341.72
  6. Step 6: Final answer
    x = 820.98

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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.