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Finding the Third Proportional to 238,304 and 523,838

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Solution

The third proportional to 238,304 and 523,838 is: 1,151,496.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,304 : 523,838 = 523,838 : x
  2. Step 2: Convert to fraction form
    238,304/523,838 = 523,838/x
  3. Step 3: Cross multiply
    238,304x = 523,838 × 523,838
  4. Step 4: Simplify right side
    238,304x = 274,406,250,244
  5. Step 5: Solve for x
    x = 274,406,250,244/238,304
  6. Step 6: Final answer
    x = 1,151,496.62

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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.