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Finding the Third Proportional to 707.88 and 1,524.63

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Solution

The third proportional to 707.88 and 1,524.63 is: 3,283.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.88 : 1,524.63 = 1,524.63 : x
  2. Step 2: Convert to fraction form
    707.88/1,524.63 = 1,524.63/x
  3. Step 3: Cross multiply
    707.88x = 1,524.63 × 1,524.63
  4. Step 4: Simplify right side
    707.88x = 2,324,481.39
  5. Step 5: Solve for x
    x = 2,324,481.39/707.88
  6. Step 6: Final answer
    x = 3,283.75

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.