Finding the Third Proportional to 384,158 and 838,300
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Solution
The third proportional to 384,158 and 838,300 is: 1,829,317.34
Step by Step Solution
- Step 1: Write the proportion equation
384,158 : 838,300 = 838,300 : x - Step 2: Convert to fraction form
384,158/838,300 = 838,300/x - Step 3: Cross multiply
384,158x = 838,300 × 838,300 - Step 4: Simplify right side
384,158x = 702,746,890,000 - Step 5: Solve for x
x = 702,746,890,000/384,158 - Step 6: Final answer
x = 1,829,317.34
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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.