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Finding the Third Proportional to 449,804 and 676,002

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Solution

The third proportional to 449,804 and 676,002 is: 1,015,950.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,804 : 676,002 = 676,002 : x
  2. Step 2: Convert to fraction form
    449,804/676,002 = 676,002/x
  3. Step 3: Cross multiply
    449,804x = 676,002 × 676,002
  4. Step 4: Simplify right side
    449,804x = 456,978,704,004
  5. Step 5: Solve for x
    x = 456,978,704,004/449,804
  6. Step 6: Final answer
    x = 1,015,950.73

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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.