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Finding the Third Proportional to 238,268 and 523,920

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Solution

The third proportional to 238,268 and 523,920 is: 1,152,031.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,268 : 523,920 = 523,920 : x
  2. Step 2: Convert to fraction form
    238,268/523,920 = 523,920/x
  3. Step 3: Cross multiply
    238,268x = 523,920 × 523,920
  4. Step 4: Simplify right side
    238,268x = 274,492,166,400
  5. Step 5: Solve for x
    x = 274,492,166,400/238,268
  6. Step 6: Final answer
    x = 1,152,031.19

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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.