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Finding the Third Proportional to 528.38 and 1,203.94

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Solution

The third proportional to 528.38 and 1,203.94 is: 2,743.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.38 : 1,203.94 = 1,203.94 : x
  2. Step 2: Convert to fraction form
    528.38/1,203.94 = 1,203.94/x
  3. Step 3: Cross multiply
    528.38x = 1,203.94 × 1,203.94
  4. Step 4: Simplify right side
    528.38x = 1,449,465.50
  5. Step 5: Solve for x
    x = 1,449,465.50/528.38
  6. Step 6: Final answer
    x = 2,743.25

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.