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Finding the Third Proportional to 233,898 and 492,245

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Solution

The third proportional to 233,898 and 492,245 is: 1,035,943.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,898 : 492,245 = 492,245 : x
  2. Step 2: Convert to fraction form
    233,898/492,245 = 492,245/x
  3. Step 3: Cross multiply
    233,898x = 492,245 × 492,245
  4. Step 4: Simplify right side
    233,898x = 242,305,140,025
  5. Step 5: Solve for x
    x = 242,305,140,025/233,898
  6. Step 6: Final answer
    x = 1,035,943.62

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.