Finding the Third Proportional to 274,824 and 602,784
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Solution
The third proportional to 274,824 and 602,784 is: 1,322,113.61
Step by Step Solution
- Step 1: Write the proportion equation
274,824 : 602,784 = 602,784 : x - Step 2: Convert to fraction form
274,824/602,784 = 602,784/x - Step 3: Cross multiply
274,824x = 602,784 × 602,784 - Step 4: Simplify right side
274,824x = 363,348,550,656 - Step 5: Solve for x
x = 363,348,550,656/274,824 - Step 6: Final answer
x = 1,322,113.61
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.