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Finding the Third Proportional to 290,061 and 448,211.25

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Solution

The third proportional to 290,061 and 448,211.25 is: 692,589.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,061 : 448,211.25 = 448,211.25 : x
  2. Step 2: Convert to fraction form
    290,061/448,211.25 = 448,211.25/x
  3. Step 3: Cross multiply
    290,061x = 448,211.25 × 448,211.25
  4. Step 4: Simplify right side
    290,061x = 200,893,324,626.56
  5. Step 5: Solve for x
    x = 200,893,324,626.56/290,061
  6. Step 6: Final answer
    x = 692,589.92

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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.