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Finding the Third Proportional to 334.94 and 534.88

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Solution

The third proportional to 334.94 and 534.88 is: 854.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.94 : 534.88 = 534.88 : x
  2. Step 2: Convert to fraction form
    334.94/534.88 = 534.88/x
  3. Step 3: Cross multiply
    334.94x = 534.88 × 534.88
  4. Step 4: Simplify right side
    334.94x = 286,091.27
  5. Step 5: Solve for x
    x = 286,091.27/334.94
  6. Step 6: Final answer
    x = 854.16

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.