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Finding the Third Proportional to 480.52 and 656.02

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Solution

The third proportional to 480.52 and 656.02 is: 895.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.52 : 656.02 = 656.02 : x
  2. Step 2: Convert to fraction form
    480.52/656.02 = 656.02/x
  3. Step 3: Cross multiply
    480.52x = 656.02 × 656.02
  4. Step 4: Simplify right side
    480.52x = 430,356.50
  5. Step 5: Solve for x
    x = 430,356.50/480.52
  6. Step 6: Final answer
    x = 895.61

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.