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Finding the Third Proportional to 880.03 and 1,322.58

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Solution

The third proportional to 880.03 and 1,322.58 is: 1,987.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.03 : 1,322.58 = 1,322.58 : x
  2. Step 2: Convert to fraction form
    880.03/1,322.58 = 1,322.58/x
  3. Step 3: Cross multiply
    880.03x = 1,322.58 × 1,322.58
  4. Step 4: Simplify right side
    880.03x = 1,749,212.90
  5. Step 5: Solve for x
    x = 1,749,212.90/880.03
  6. Step 6: Final answer
    x = 1,987.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.