Finding the Third Proportional to 217,096 and 470,800
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Solution
The third proportional to 217,096 and 470,800 is: 1,020,989.06
Step by Step Solution
- Step 1: Write the proportion equation
217,096 : 470,800 = 470,800 : x - Step 2: Convert to fraction form
217,096/470,800 = 470,800/x - Step 3: Cross multiply
217,096x = 470,800 × 470,800 - Step 4: Simplify right side
217,096x = 221,652,640,000 - Step 5: Solve for x
x = 221,652,640,000/217,096 - Step 6: Final answer
x = 1,020,989.06
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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.