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Finding the Third Proportional to 653.06 and 1,408.64

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Solution

The third proportional to 653.06 and 1,408.64 is: 3,038.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.06 : 1,408.64 = 1,408.64 : x
  2. Step 2: Convert to fraction form
    653.06/1,408.64 = 1,408.64/x
  3. Step 3: Cross multiply
    653.06x = 1,408.64 × 1,408.64
  4. Step 4: Simplify right side
    653.06x = 1,984,268.41
  5. Step 5: Solve for x
    x = 1,984,268.41/653.06
  6. Step 6: Final answer
    x = 3,038.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.