Finding the Third Proportional to 309,006 and 651,228
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Solution
The third proportional to 309,006 and 651,228 is: 1,372,458.49
Step by Step Solution
- Step 1: Write the proportion equation
309,006 : 651,228 = 651,228 : x - Step 2: Convert to fraction form
309,006/651,228 = 651,228/x - Step 3: Cross multiply
309,006x = 651,228 × 651,228 - Step 4: Simplify right side
309,006x = 424,097,907,984 - Step 5: Solve for x
x = 424,097,907,984/309,006 - Step 6: Final answer
x = 1,372,458.49
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Why These Related Problems?
These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.