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Finding the Third Proportional to 238,228 and 523,685

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Solution

The third proportional to 238,228 and 523,685 is: 1,151,191.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,228 : 523,685 = 523,685 : x
  2. Step 2: Convert to fraction form
    238,228/523,685 = 523,685/x
  3. Step 3: Cross multiply
    238,228x = 523,685 × 523,685
  4. Step 4: Simplify right side
    238,228x = 274,245,979,225
  5. Step 5: Solve for x
    x = 274,245,979,225/238,228
  6. Step 6: Final answer
    x = 1,151,191.21

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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.