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Finding the Third Proportional to 214,270.03 and 446,274.28

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Solution

The third proportional to 214,270.03 and 446,274.28 is: 929,484.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,270.03 : 446,274.28 = 446,274.28 : x
  2. Step 2: Convert to fraction form
    214,270.03/446,274.28 = 446,274.28/x
  3. Step 3: Cross multiply
    214,270.03x = 446,274.28 × 446,274.28
  4. Step 4: Simplify right side
    214,270.03x = 199,160,734,105.20
  5. Step 5: Solve for x
    x = 199,160,734,105.20/214,270.03
  6. Step 6: Final answer
    x = 929,484.79

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.