Finding the Third Proportional to 282,720 and 615,300
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Solution
The third proportional to 282,720 and 615,300 is: 1,339,113.22
Step by Step Solution
- Step 1: Write the proportion equation
282,720 : 615,300 = 615,300 : x - Step 2: Convert to fraction form
282,720/615,300 = 615,300/x - Step 3: Cross multiply
282,720x = 615,300 × 615,300 - Step 4: Simplify right side
282,720x = 378,594,090,000 - Step 5: Solve for x
x = 378,594,090,000/282,720 - Step 6: Final answer
x = 1,339,113.22
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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.