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Finding the Third Proportional to 653.48 and 1,437.33

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Solution

The third proportional to 653.48 and 1,437.33 is: 3,161.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.48 : 1,437.33 = 1,437.33 : x
  2. Step 2: Convert to fraction form
    653.48/1,437.33 = 1,437.33/x
  3. Step 3: Cross multiply
    653.48x = 1,437.33 × 1,437.33
  4. Step 4: Simplify right side
    653.48x = 2,065,912.14
  5. Step 5: Solve for x
    x = 2,065,912.14/653.48
  6. Step 6: Final answer
    x = 3,161.38

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.