Finding the Third Proportional to 299,640 and 649,176
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Solution
The third proportional to 299,640 and 649,176 is: 1,406,452.67
Step by Step Solution
- Step 1: Write the proportion equation
299,640 : 649,176 = 649,176 : x - Step 2: Convert to fraction form
299,640/649,176 = 649,176/x - Step 3: Cross multiply
299,640x = 649,176 × 649,176 - Step 4: Simplify right side
299,640x = 421,429,478,976 - Step 5: Solve for x
x = 421,429,478,976/299,640 - Step 6: Final answer
x = 1,406,452.67
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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.