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Finding the Third Proportional to 416,052 and 609,266

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Solution

The third proportional to 416,052 and 609,266 is: 892,208.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,052 : 609,266 = 609,266 : x
  2. Step 2: Convert to fraction form
    416,052/609,266 = 609,266/x
  3. Step 3: Cross multiply
    416,052x = 609,266 × 609,266
  4. Step 4: Simplify right side
    416,052x = 371,205,058,756
  5. Step 5: Solve for x
    x = 371,205,058,756/416,052
  6. Step 6: Final answer
    x = 892,208.33

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.