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Finding the Third Proportional to 492,021 and 734,234.25

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Solution

The third proportional to 492,021 and 734,234.25 is: 1,095,684.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,021 : 734,234.25 = 734,234.25 : x
  2. Step 2: Convert to fraction form
    492,021/734,234.25 = 734,234.25/x
  3. Step 3: Cross multiply
    492,021x = 734,234.25 × 734,234.25
  4. Step 4: Simplify right side
    492,021x = 539,099,933,873.06
  5. Step 5: Solve for x
    x = 539,099,933,873.06/492,021
  6. Step 6: Final answer
    x = 1,095,684.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.