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Finding the Third Proportional to 456,944 and 682,728

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Solution

The third proportional to 456,944 and 682,728 is: 1,020,075.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,944 : 682,728 = 682,728 : x
  2. Step 2: Convert to fraction form
    456,944/682,728 = 682,728/x
  3. Step 3: Cross multiply
    456,944x = 682,728 × 682,728
  4. Step 4: Simplify right side
    456,944x = 466,117,521,984
  5. Step 5: Solve for x
    x = 466,117,521,984/456,944
  6. Step 6: Final answer
    x = 1,020,075.81

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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.