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Finding the Third Proportional to 528.08 and 1,233.67

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Solution

The third proportional to 528.08 and 1,233.67 is: 2,882.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.08 : 1,233.67 = 1,233.67 : x
  2. Step 2: Convert to fraction form
    528.08/1,233.67 = 1,233.67/x
  3. Step 3: Cross multiply
    528.08x = 1,233.67 × 1,233.67
  4. Step 4: Simplify right side
    528.08x = 1,521,936.66
  5. Step 5: Solve for x
    x = 1,521,936.66/528.08
  6. Step 6: Final answer
    x = 2,882.01

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.