Finding the Third Proportional to 418,316 and 646,369
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Solution
The third proportional to 418,316 and 646,369 is: 998,749.47
Step by Step Solution
- Step 1: Write the proportion equation
418,316 : 646,369 = 646,369 : x - Step 2: Convert to fraction form
418,316/646,369 = 646,369/x - Step 3: Cross multiply
418,316x = 646,369 × 646,369 - Step 4: Simplify right side
418,316x = 417,792,884,161 - Step 5: Solve for x
x = 417,792,884,161/418,316 - Step 6: Final answer
x = 998,749.47
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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.