Finding the Third Proportional to 299,466 and 649,294.50
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Solution
The third proportional to 299,466 and 649,294.50 is: 1,407,783.68
Step by Step Solution
- Step 1: Write the proportion equation
299,466 : 649,294.50 = 649,294.50 : x - Step 2: Convert to fraction form
299,466/649,294.50 = 649,294.50/x - Step 3: Cross multiply
299,466x = 649,294.50 × 649,294.50 - Step 4: Simplify right side
299,466x = 421,583,347,730.25 - Step 5: Solve for x
x = 421,583,347,730.25/299,466 - Step 6: Final answer
x = 1,407,783.68
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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.