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Finding the Third Proportional to 446,298 and 679,904

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Solution

The third proportional to 446,298 and 679,904 is: 1,035,786.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,298 : 679,904 = 679,904 : x
  2. Step 2: Convert to fraction form
    446,298/679,904 = 679,904/x
  3. Step 3: Cross multiply
    446,298x = 679,904 × 679,904
  4. Step 4: Simplify right side
    446,298x = 462,269,449,216
  5. Step 5: Solve for x
    x = 462,269,449,216/446,298
  6. Step 6: Final answer
    x = 1,035,786.51

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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.