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Finding the Third Proportional to 252,892.69 and 550,405.69

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Solution

The third proportional to 252,892.69 and 550,405.69 is: 1,197,924.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,892.69 : 550,405.69 = 550,405.69 : x
  2. Step 2: Convert to fraction form
    252,892.69/550,405.69 = 550,405.69/x
  3. Step 3: Cross multiply
    252,892.69x = 550,405.69 × 550,405.69
  4. Step 4: Simplify right side
    252,892.69x = 302,946,420,832.35
  5. Step 5: Solve for x
    x = 302,946,420,832.35/252,892.69
  6. Step 6: Final answer
    x = 1,197,924.80

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.