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Finding the Third Proportional to 490,785 and 733,245

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Solution

The third proportional to 490,785 and 733,245 is: 1,095,486.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,785 : 733,245 = 733,245 : x
  2. Step 2: Convert to fraction form
    490,785/733,245 = 733,245/x
  3. Step 3: Cross multiply
    490,785x = 733,245 × 733,245
  4. Step 4: Simplify right side
    490,785x = 537,648,230,025
  5. Step 5: Solve for x
    x = 537,648,230,025/490,785
  6. Step 6: Final answer
    x = 1,095,486.27

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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.