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Finding the Third Proportional to 500.88 and 1,059.44

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Solution

The third proportional to 500.88 and 1,059.44 is: 2,240.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.88 : 1,059.44 = 1,059.44 : x
  2. Step 2: Convert to fraction form
    500.88/1,059.44 = 1,059.44/x
  3. Step 3: Cross multiply
    500.88x = 1,059.44 × 1,059.44
  4. Step 4: Simplify right side
    500.88x = 1,122,407.82
  5. Step 5: Solve for x
    x = 1,122,407.82/500.88
  6. Step 6: Final answer
    x = 2,240.89

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.