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Finding the Third Proportional to 268,110 and 589,353

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Solution

The third proportional to 268,110 and 589,353 is: 1,295,501.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,110 : 589,353 = 589,353 : x
  2. Step 2: Convert to fraction form
    268,110/589,353 = 589,353/x
  3. Step 3: Cross multiply
    268,110x = 589,353 × 589,353
  4. Step 4: Simplify right side
    268,110x = 347,336,958,609
  5. Step 5: Solve for x
    x = 347,336,958,609/268,110
  6. Step 6: Final answer
    x = 1,295,501.69

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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.