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Finding the Third Proportional to 290,895 and 449,309.25

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Solution

The third proportional to 290,895 and 449,309.25 is: 693,992.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,895 : 449,309.25 = 449,309.25 : x
  2. Step 2: Convert to fraction form
    290,895/449,309.25 = 449,309.25/x
  3. Step 3: Cross multiply
    290,895x = 449,309.25 × 449,309.25
  4. Step 4: Simplify right side
    290,895x = 201,878,802,135.56
  5. Step 5: Solve for x
    x = 201,878,802,135.56/290,895
  6. Step 6: Final answer
    x = 693,992.00

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.