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Finding the Third Proportional to 228,002.34 and 494,945.44

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Solution

The third proportional to 228,002.34 and 494,945.44 is: 1,074,423.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,002.34 : 494,945.44 = 494,945.44 : x
  2. Step 2: Convert to fraction form
    228,002.34/494,945.44 = 494,945.44/x
  3. Step 3: Cross multiply
    228,002.34x = 494,945.44 × 494,945.44
  4. Step 4: Simplify right side
    228,002.34x = 244,970,986,102.07
  5. Step 5: Solve for x
    x = 244,970,986,102.07/228,002.34
  6. Step 6: Final answer
    x = 1,074,423.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.