Finding the Third Proportional to 296,896 and 647,072
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Solution
The third proportional to 296,896 and 647,072 is: 1,410,265.46
Step by Step Solution
- Step 1: Write the proportion equation
296,896 : 647,072 = 647,072 : x - Step 2: Convert to fraction form
296,896/647,072 = 647,072/x - Step 3: Cross multiply
296,896x = 647,072 × 647,072 - Step 4: Simplify right side
296,896x = 418,702,173,184 - Step 5: Solve for x
x = 418,702,173,184/296,896 - Step 6: Final answer
x = 1,410,265.46
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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.