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Finding the Third Proportional to 722.50 and 1,606.75

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Solution

The third proportional to 722.50 and 1,606.75 is: 3,573.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.50 : 1,606.75 = 1,606.75 : x
  2. Step 2: Convert to fraction form
    722.50/1,606.75 = 1,606.75/x
  3. Step 3: Cross multiply
    722.50x = 1,606.75 × 1,606.75
  4. Step 4: Simplify right side
    722.50x = 2,581,645.56
  5. Step 5: Solve for x
    x = 2,581,645.56/722.50
  6. Step 6: Final answer
    x = 3,573.21

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.