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Finding the Third Proportional to 721.88 and 1,528.72

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Solution

The third proportional to 721.88 and 1,528.72 is: 3,237.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.88 : 1,528.72 = 1,528.72 : x
  2. Step 2: Convert to fraction form
    721.88/1,528.72 = 1,528.72/x
  3. Step 3: Cross multiply
    721.88x = 1,528.72 × 1,528.72
  4. Step 4: Simplify right side
    721.88x = 2,336,975.05
  5. Step 5: Solve for x
    x = 2,336,975.05/721.88
  6. Step 6: Final answer
    x = 3,237.34

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.