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Finding the Third Proportional to 248,020 and 551,144

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Solution

The third proportional to 248,020 and 551,144 is: 1,224,738.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,020 : 551,144 = 551,144 : x
  2. Step 2: Convert to fraction form
    248,020/551,144 = 551,144/x
  3. Step 3: Cross multiply
    248,020x = 551,144 × 551,144
  4. Step 4: Simplify right side
    248,020x = 303,759,708,736
  5. Step 5: Solve for x
    x = 303,759,708,736/248,020
  6. Step 6: Final answer
    x = 1,224,738.77

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.