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Finding the Third Proportional to 334.56 and 532.84

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Solution

The third proportional to 334.56 and 532.84 is: 848.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.56 : 532.84 = 532.84 : x
  2. Step 2: Convert to fraction form
    334.56/532.84 = 532.84/x
  3. Step 3: Cross multiply
    334.56x = 532.84 × 532.84
  4. Step 4: Simplify right side
    334.56x = 283,922.46
  5. Step 5: Solve for x
    x = 283,922.46/334.56
  6. Step 6: Final answer
    x = 848.64

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.