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Finding the Third Proportional to 446,197 and 679,751

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Solution

The third proportional to 446,197 and 679,751 is: 1,035,554.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,197 : 679,751 = 679,751 : x
  2. Step 2: Convert to fraction form
    446,197/679,751 = 679,751/x
  3. Step 3: Cross multiply
    446,197x = 679,751 × 679,751
  4. Step 4: Simplify right side
    446,197x = 462,061,422,001
  5. Step 5: Solve for x
    x = 462,061,422,001/446,197
  6. Step 6: Final answer
    x = 1,035,554.75

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.