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Finding the Third Proportional to 528.94 and 834.47

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Solution

The third proportional to 528.94 and 834.47 is: 1,316.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.94 : 834.47 = 834.47 : x
  2. Step 2: Convert to fraction form
    528.94/834.47 = 834.47/x
  3. Step 3: Cross multiply
    528.94x = 834.47 × 834.47
  4. Step 4: Simplify right side
    528.94x = 696,338.09
  5. Step 5: Solve for x
    x = 696,338.09/528.94
  6. Step 6: Final answer
    x = 1,316.48

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.