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Finding the Third Proportional to 632.06 and 1,295.44

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Solution

The third proportional to 632.06 and 1,295.44 is: 2,655.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.06 : 1,295.44 = 1,295.44 : x
  2. Step 2: Convert to fraction form
    632.06/1,295.44 = 1,295.44/x
  3. Step 3: Cross multiply
    632.06x = 1,295.44 × 1,295.44
  4. Step 4: Simplify right side
    632.06x = 1,678,158.32
  5. Step 5: Solve for x
    x = 1,678,158.32/632.06
  6. Step 6: Final answer
    x = 2,655.05

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.