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Finding the Third Proportional to 449,858.25 and 679,434.75

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Solution

The third proportional to 449,858.25 and 679,434.75 is: 1,026,171.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,858.25 : 679,434.75 = 679,434.75 : x
  2. Step 2: Convert to fraction form
    449,858.25/679,434.75 = 679,434.75/x
  3. Step 3: Cross multiply
    449,858.25x = 679,434.75 × 679,434.75
  4. Step 4: Simplify right side
    449,858.25x = 461,631,579,507.56
  5. Step 5: Solve for x
    x = 461,631,579,507.56/449,858.25
  6. Step 6: Final answer
    x = 1,026,171.20

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.