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Finding the Third Proportional to 290,270.25 and 448,527.38

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Solution

The third proportional to 290,270.25 and 448,527.38 is: 693,067.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,270.25 : 448,527.38 = 448,527.38 : x
  2. Step 2: Convert to fraction form
    290,270.25/448,527.38 = 448,527.38/x
  3. Step 3: Cross multiply
    290,270.25x = 448,527.38 × 448,527.38
  4. Step 4: Simplify right side
    290,270.25x = 201,176,806,124.39
  5. Step 5: Solve for x
    x = 201,176,806,124.39/290,270.25
  6. Step 6: Final answer
    x = 693,067.26

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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.