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Finding the Third Proportional to 416,328 and 594,912

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Solution

The third proportional to 416,328 and 594,912 is: 850,099.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,328 : 594,912 = 594,912 : x
  2. Step 2: Convert to fraction form
    416,328/594,912 = 594,912/x
  3. Step 3: Cross multiply
    416,328x = 594,912 × 594,912
  4. Step 4: Simplify right side
    416,328x = 353,920,287,744
  5. Step 5: Solve for x
    x = 353,920,287,744/416,328
  6. Step 6: Final answer
    x = 850,099.65

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.