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Finding the Third Proportional to 629.25 and 1,132.50

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Solution

The third proportional to 629.25 and 1,132.50 is: 2,038.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.25 : 1,132.50 = 1,132.50 : x
  2. Step 2: Convert to fraction form
    629.25/1,132.50 = 1,132.50/x
  3. Step 3: Cross multiply
    629.25x = 1,132.50 × 1,132.50
  4. Step 4: Simplify right side
    629.25x = 1,282,556.25
  5. Step 5: Solve for x
    x = 1,282,556.25/629.25
  6. Step 6: Final answer
    x = 2,038.23

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.