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Finding the Third Proportional to 252,512 and 550,216

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Solution

The third proportional to 252,512 and 550,216 is: 1,198,904.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,512 : 550,216 = 550,216 : x
  2. Step 2: Convert to fraction form
    252,512/550,216 = 550,216/x
  3. Step 3: Cross multiply
    252,512x = 550,216 × 550,216
  4. Step 4: Simplify right side
    252,512x = 302,737,646,656
  5. Step 5: Solve for x
    x = 302,737,646,656/252,512
  6. Step 6: Final answer
    x = 1,198,904.00

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Why These Related Problems?

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