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Finding the Third Proportional to 237,736 and 522,124

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Solution

The third proportional to 237,736 and 522,124 is: 1,146,706.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,736 : 522,124 = 522,124 : x
  2. Step 2: Convert to fraction form
    237,736/522,124 = 522,124/x
  3. Step 3: Cross multiply
    237,736x = 522,124 × 522,124
  4. Step 4: Simplify right side
    237,736x = 272,613,471,376
  5. Step 5: Solve for x
    x = 272,613,471,376/237,736
  6. Step 6: Final answer
    x = 1,146,706.73

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.