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Finding the Third Proportional to 343.41 and 584.30

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Solution

The third proportional to 343.41 and 584.30 is: 994.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.41 : 584.30 = 584.30 : x
  2. Step 2: Convert to fraction form
    343.41/584.30 = 584.30/x
  3. Step 3: Cross multiply
    343.41x = 584.30 × 584.30
  4. Step 4: Simplify right side
    343.41x = 341,402.84
  5. Step 5: Solve for x
    x = 341,402.84/343.41
  6. Step 6: Final answer
    x = 994.17

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.