Finding the Third Proportional to 267,984 and 567,744
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Solution
The third proportional to 267,984 and 567,744 is: 1,202,807.82
Step by Step Solution
- Step 1: Write the proportion equation
267,984 : 567,744 = 567,744 : x - Step 2: Convert to fraction form
267,984/567,744 = 567,744/x - Step 3: Cross multiply
267,984x = 567,744 × 567,744 - Step 4: Simplify right side
267,984x = 322,333,249,536 - Step 5: Solve for x
x = 322,333,249,536/267,984 - Step 6: Final answer
x = 1,202,807.82
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Why These Related Problems?
These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.