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Finding the Third Proportional to 447,218 and 669,054

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Solution

The third proportional to 447,218 and 669,054 is: 1,000,928.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,218 : 669,054 = 669,054 : x
  2. Step 2: Convert to fraction form
    447,218/669,054 = 669,054/x
  3. Step 3: Cross multiply
    447,218x = 669,054 × 669,054
  4. Step 4: Simplify right side
    447,218x = 447,633,254,916
  5. Step 5: Solve for x
    x = 447,633,254,916/447,218
  6. Step 6: Final answer
    x = 1,000,928.53

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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.