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Finding the Third Proportional to 252,816 and 534,144

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Solution

The third proportional to 252,816 and 534,144 is: 1,128,527.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,816 : 534,144 = 534,144 : x
  2. Step 2: Convert to fraction form
    252,816/534,144 = 534,144/x
  3. Step 3: Cross multiply
    252,816x = 534,144 × 534,144
  4. Step 4: Simplify right side
    252,816x = 285,309,812,736
  5. Step 5: Solve for x
    x = 285,309,812,736/252,816
  6. Step 6: Final answer
    x = 1,128,527.52

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.