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Finding the Third Proportional to 220,002.75 and 529,821

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Solution

The third proportional to 220,002.75 and 529,821 is: 1,275,939.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,002.75 : 529,821 = 529,821 : x
  2. Step 2: Convert to fraction form
    220,002.75/529,821 = 529,821/x
  3. Step 3: Cross multiply
    220,002.75x = 529,821 × 529,821
  4. Step 4: Simplify right side
    220,002.75x = 280,710,292,041
  5. Step 5: Solve for x
    x = 280,710,292,041/220,002.75
  6. Step 6: Final answer
    x = 1,275,939.92

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.