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Finding the Third Proportional to 653.06 and 1,269.56

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Solution

The third proportional to 653.06 and 1,269.56 is: 2,468.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.06 : 1,269.56 = 1,269.56 : x
  2. Step 2: Convert to fraction form
    653.06/1,269.56 = 1,269.56/x
  3. Step 3: Cross multiply
    653.06x = 1,269.56 × 1,269.56
  4. Step 4: Simplify right side
    653.06x = 1,611,788.94
  5. Step 5: Solve for x
    x = 1,611,788.94/653.06
  6. Step 6: Final answer
    x = 2,468.05

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Why These Related Problems?

These problems maintain the same ratio (1.94) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.