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Finding the Third Proportional to 446,901 and 683,762

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Solution

The third proportional to 446,901 and 683,762 is: 1,046,161.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,901 : 683,762 = 683,762 : x
  2. Step 2: Convert to fraction form
    446,901/683,762 = 683,762/x
  3. Step 3: Cross multiply
    446,901x = 683,762 × 683,762
  4. Step 4: Simplify right side
    446,901x = 467,530,472,644
  5. Step 5: Solve for x
    x = 467,530,472,644/446,901
  6. Step 6: Final answer
    x = 1,046,161.17

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.