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Finding the Third Proportional to 237,724 and 522,100

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Solution

The third proportional to 237,724 and 522,100 is: 1,146,659.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,724 : 522,100 = 522,100 : x
  2. Step 2: Convert to fraction form
    237,724/522,100 = 522,100/x
  3. Step 3: Cross multiply
    237,724x = 522,100 × 522,100
  4. Step 4: Simplify right side
    237,724x = 272,588,410,000
  5. Step 5: Solve for x
    x = 272,588,410,000/237,724
  6. Step 6: Final answer
    x = 1,146,659.19

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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.