Finding the Third Proportional to 308,464 and 714,025
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Solution
The third proportional to 308,464 and 714,025 is: 1,652,807.79
Step by Step Solution
- Step 1: Write the proportion equation
308,464 : 714,025 = 714,025 : x - Step 2: Convert to fraction form
308,464/714,025 = 714,025/x - Step 3: Cross multiply
308,464x = 714,025 × 714,025 - Step 4: Simplify right side
308,464x = 509,831,700,625 - Step 5: Solve for x
x = 509,831,700,625/308,464 - Step 6: Final answer
x = 1,652,807.79
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Why These Related Problems?
These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.