Finding the Third Proportional to 296,316 and 648,846
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Solution
The third proportional to 296,316 and 648,846 is: 1,420,784.34
Step by Step Solution
- Step 1: Write the proportion equation
296,316 : 648,846 = 648,846 : x - Step 2: Convert to fraction form
296,316/648,846 = 648,846/x - Step 3: Cross multiply
296,316x = 648,846 × 648,846 - Step 4: Simplify right side
296,316x = 421,001,131,716 - Step 5: Solve for x
x = 421,001,131,716/296,316 - Step 6: Final answer
x = 1,420,784.34
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.