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Finding the Third Proportional to 456,954 and 682,743

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Solution

The third proportional to 456,954 and 682,743 is: 1,020,098.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,954 : 682,743 = 682,743 : x
  2. Step 2: Convert to fraction form
    456,954/682,743 = 682,743/x
  3. Step 3: Cross multiply
    456,954x = 682,743 × 682,743
  4. Step 4: Simplify right side
    456,954x = 466,138,004,049
  5. Step 5: Solve for x
    x = 466,138,004,049/456,954
  6. Step 6: Final answer
    x = 1,020,098.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.