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Finding the Third Proportional to 238,201 and 523,062

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Solution

The third proportional to 238,201 and 523,062 is: 1,148,583.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,201 : 523,062 = 523,062 : x
  2. Step 2: Convert to fraction form
    238,201/523,062 = 523,062/x
  3. Step 3: Cross multiply
    238,201x = 523,062 × 523,062
  4. Step 4: Simplify right side
    238,201x = 273,593,855,844
  5. Step 5: Solve for x
    x = 273,593,855,844/238,201
  6. Step 6: Final answer
    x = 1,148,583.99

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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.