Finding the Third Proportional to 296,280 and 643,140
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Solution
The third proportional to 296,280 and 643,140 is: 1,396,074.86
Step by Step Solution
- Step 1: Write the proportion equation
296,280 : 643,140 = 643,140 : x - Step 2: Convert to fraction form
296,280/643,140 = 643,140/x - Step 3: Cross multiply
296,280x = 643,140 × 643,140 - Step 4: Simplify right side
296,280x = 413,629,059,600 - Step 5: Solve for x
x = 413,629,059,600/296,280 - Step 6: Final answer
x = 1,396,074.86
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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.