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Finding the Third Proportional to 238,476 and 523,968

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Solution

The third proportional to 238,476 and 523,968 is: 1,151,237.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,476 : 523,968 = 523,968 : x
  2. Step 2: Convert to fraction form
    238,476/523,968 = 523,968/x
  3. Step 3: Cross multiply
    238,476x = 523,968 × 523,968
  4. Step 4: Simplify right side
    238,476x = 274,542,465,024
  5. Step 5: Solve for x
    x = 274,542,465,024/238,476
  6. Step 6: Final answer
    x = 1,151,237.29

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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.