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Finding the Third Proportional to 366,974 and 567,064

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Solution

The third proportional to 366,974 and 567,064 is: 876,251.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,974 : 567,064 = 567,064 : x
  2. Step 2: Convert to fraction form
    366,974/567,064 = 567,064/x
  3. Step 3: Cross multiply
    366,974x = 567,064 × 567,064
  4. Step 4: Simplify right side
    366,974x = 321,561,580,096
  5. Step 5: Solve for x
    x = 321,561,580,096/366,974
  6. Step 6: Final answer
    x = 876,251.67

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.