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Finding the Third Proportional to 268,098 and 589,188

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Solution

The third proportional to 268,098 and 589,188 is: 1,294,834.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,098 : 589,188 = 589,188 : x
  2. Step 2: Convert to fraction form
    268,098/589,188 = 589,188/x
  3. Step 3: Cross multiply
    268,098x = 589,188 × 589,188
  4. Step 4: Simplify right side
    268,098x = 347,142,499,344
  5. Step 5: Solve for x
    x = 347,142,499,344/268,098
  6. Step 6: Final answer
    x = 1,294,834.35

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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.