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Finding the Third Proportional to 491.12 and 1,059.12

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Solution

The third proportional to 491.12 and 1,059.12 is: 2,284.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.12 : 1,059.12 = 1,059.12 : x
  2. Step 2: Convert to fraction form
    491.12/1,059.12 = 1,059.12/x
  3. Step 3: Cross multiply
    491.12x = 1,059.12 × 1,059.12
  4. Step 4: Simplify right side
    491.12x = 1,121,729.22
  5. Step 5: Solve for x
    x = 1,121,729.22/491.12
  6. Step 6: Final answer
    x = 2,284.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.