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Finding the Third Proportional to 449,277 and 977,268

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Solution

The third proportional to 449,277 and 977,268 is: 2,125,754.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,277 : 977,268 = 977,268 : x
  2. Step 2: Convert to fraction form
    449,277/977,268 = 977,268/x
  3. Step 3: Cross multiply
    449,277x = 977,268 × 977,268
  4. Step 4: Simplify right side
    449,277x = 955,052,743,824
  5. Step 5: Solve for x
    x = 955,052,743,824/449,277
  6. Step 6: Final answer
    x = 2,125,754.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.