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Finding the Third Proportional to 653.34 and 1,436.63

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Solution

The third proportional to 653.34 and 1,436.63 is: 3,158.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.34 : 1,436.63 = 1,436.63 : x
  2. Step 2: Convert to fraction form
    653.34/1,436.63 = 1,436.63/x
  3. Step 3: Cross multiply
    653.34x = 1,436.63 × 1,436.63
  4. Step 4: Simplify right side
    653.34x = 2,063,891.39
  5. Step 5: Solve for x
    x = 2,063,891.39/653.34
  6. Step 6: Final answer
    x = 3,158.97

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