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Finding the Third Proportional to 252,274 and 551,852

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Solution

The third proportional to 252,274 and 551,852 is: 1,207,181.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,274 : 551,852 = 551,852 : x
  2. Step 2: Convert to fraction form
    252,274/551,852 = 551,852/x
  3. Step 3: Cross multiply
    252,274x = 551,852 × 551,852
  4. Step 4: Simplify right side
    252,274x = 304,540,629,904
  5. Step 5: Solve for x
    x = 304,540,629,904/252,274
  6. Step 6: Final answer
    x = 1,207,181.99

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.