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Finding the Third Proportional to 268,094 and 589,322

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Solution

The third proportional to 268,094 and 589,322 is: 1,295,442.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,094 : 589,322 = 589,322 : x
  2. Step 2: Convert to fraction form
    268,094/589,322 = 589,322/x
  3. Step 3: Cross multiply
    268,094x = 589,322 × 589,322
  4. Step 4: Simplify right side
    268,094x = 347,300,419,684
  5. Step 5: Solve for x
    x = 347,300,419,684/268,094
  6. Step 6: Final answer
    x = 1,295,442.72

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.