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Finding the Third Proportional to 290,228.25 and 448,476.75

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Solution

The third proportional to 290,228.25 and 448,476.75 is: 693,011.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,228.25 : 448,476.75 = 448,476.75 : x
  2. Step 2: Convert to fraction form
    290,228.25/448,476.75 = 448,476.75/x
  3. Step 3: Cross multiply
    290,228.25x = 448,476.75 × 448,476.75
  4. Step 4: Simplify right side
    290,228.25x = 201,131,395,290.56
  5. Step 5: Solve for x
    x = 201,131,395,290.56/290,228.25
  6. Step 6: Final answer
    x = 693,011.09

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.