Finding the Third Proportional to 280,824 and 609,312
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Solution
The third proportional to 280,824 and 609,312 is: 1,322,041.97
Step by Step Solution
- Step 1: Write the proportion equation
280,824 : 609,312 = 609,312 : x - Step 2: Convert to fraction form
280,824/609,312 = 609,312/x - Step 3: Cross multiply
280,824x = 609,312 × 609,312 - Step 4: Simplify right side
280,824x = 371,261,113,344 - Step 5: Solve for x
x = 371,261,113,344/280,824 - Step 6: Final answer
x = 1,322,041.97
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.