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Finding the Third Proportional to 421.03 and 859.22

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Solution

The third proportional to 421.03 and 859.22 is: 1,753.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.03 : 859.22 = 859.22 : x
  2. Step 2: Convert to fraction form
    421.03/859.22 = 859.22/x
  3. Step 3: Cross multiply
    421.03x = 859.22 × 859.22
  4. Step 4: Simplify right side
    421.03x = 738,256.86
  5. Step 5: Solve for x
    x = 738,256.86/421.03
  6. Step 6: Final answer
    x = 1,753.45

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.