Finding the Third Proportional to 282,780 and 615,312
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Solution
The third proportional to 282,780 and 615,312 is: 1,338,881.31
Step by Step Solution
- Step 1: Write the proportion equation
282,780 : 615,312 = 615,312 : x - Step 2: Convert to fraction form
282,780/615,312 = 615,312/x - Step 3: Cross multiply
282,780x = 615,312 × 615,312 - Step 4: Simplify right side
282,780x = 378,608,857,344 - Step 5: Solve for x
x = 378,608,857,344/282,780 - Step 6: Final answer
x = 1,338,881.31
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.