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Finding the Third Proportional to 525.25 and 1,130.69

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Solution

The third proportional to 525.25 and 1,130.69 is: 2,433.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.25 : 1,130.69 = 1,130.69 : x
  2. Step 2: Convert to fraction form
    525.25/1,130.69 = 1,130.69/x
  3. Step 3: Cross multiply
    525.25x = 1,130.69 × 1,130.69
  4. Step 4: Simplify right side
    525.25x = 1,278,454.22
  5. Step 5: Solve for x
    x = 1,278,454.22/525.25
  6. Step 6: Final answer
    x = 2,433.99

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.