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Finding the Third Proportional to 653.50 and 1,422.25

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Solution

The third proportional to 653.50 and 1,422.25 is: 3,095.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.50 : 1,422.25 = 1,422.25 : x
  2. Step 2: Convert to fraction form
    653.50/1,422.25 = 1,422.25/x
  3. Step 3: Cross multiply
    653.50x = 1,422.25 × 1,422.25
  4. Step 4: Simplify right side
    653.50x = 2,022,795.06
  5. Step 5: Solve for x
    x = 2,022,795.06/653.50
  6. Step 6: Final answer
    x = 3,095.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.