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Finding the Third Proportional to 290,049.75 and 448,197.75

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Solution

The third proportional to 290,049.75 and 448,197.75 is: 692,575.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,049.75 : 448,197.75 = 448,197.75 : x
  2. Step 2: Convert to fraction form
    290,049.75/448,197.75 = 448,197.75/x
  3. Step 3: Cross multiply
    290,049.75x = 448,197.75 × 448,197.75
  4. Step 4: Simplify right side
    290,049.75x = 200,881,223,105.06
  5. Step 5: Solve for x
    x = 200,881,223,105.06/290,049.75
  6. Step 6: Final answer
    x = 692,575.06

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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.