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Finding the Third Proportional to 632.25 and 1,295.81

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Solution

The third proportional to 632.25 and 1,295.81 is: 2,655.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.25 : 1,295.81 = 1,295.81 : x
  2. Step 2: Convert to fraction form
    632.25/1,295.81 = 1,295.81/x
  3. Step 3: Cross multiply
    632.25x = 1,295.81 × 1,295.81
  4. Step 4: Simplify right side
    632.25x = 1,679,130.04
  5. Step 5: Solve for x
    x = 1,679,130.04/632.25
  6. Step 6: Final answer
    x = 2,655.80

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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.