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Finding the Third Proportional to 528.19 and 1,146.23

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Solution

The third proportional to 528.19 and 1,146.23 is: 2,487.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.19 : 1,146.23 = 1,146.23 : x
  2. Step 2: Convert to fraction form
    528.19/1,146.23 = 1,146.23/x
  3. Step 3: Cross multiply
    528.19x = 1,146.23 × 1,146.23
  4. Step 4: Simplify right side
    528.19x = 1,313,853.24
  5. Step 5: Solve for x
    x = 1,313,853.24/528.19
  6. Step 6: Final answer
    x = 2,487.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.