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Finding the Third Proportional to 252,923 and 529,228

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Solution

The third proportional to 252,923 and 529,228 is: 1,107,381.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,923 : 529,228 = 529,228 : x
  2. Step 2: Convert to fraction form
    252,923/529,228 = 529,228/x
  3. Step 3: Cross multiply
    252,923x = 529,228 × 529,228
  4. Step 4: Simplify right side
    252,923x = 280,082,275,984
  5. Step 5: Solve for x
    x = 280,082,275,984/252,923
  6. Step 6: Final answer
    x = 1,107,381.60

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.