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Finding the Third Proportional to 404,072 and 606,108

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Solution

The third proportional to 404,072 and 606,108 is: 909,162

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,072 : 606,108 = 606,108 : x
  2. Step 2: Convert to fraction form
    404,072/606,108 = 606,108/x
  3. Step 3: Cross multiply
    404,072x = 606,108 × 606,108
  4. Step 4: Simplify right side
    404,072x = 367,366,907,664
  5. Step 5: Solve for x
    x = 367,366,907,664/404,072
  6. Step 6: Final answer
    x = 909,162

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.