Finding the Third Proportional to 317,072 and 434,784
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Solution
The third proportional to 317,072 and 434,784 is: 596,196.22
Step by Step Solution
- Step 1: Write the proportion equation
317,072 : 434,784 = 434,784 : x - Step 2: Convert to fraction form
317,072/434,784 = 434,784/x - Step 3: Cross multiply
317,072x = 434,784 × 434,784 - Step 4: Simplify right side
317,072x = 189,037,126,656 - Step 5: Solve for x
x = 189,037,126,656/317,072 - Step 6: Final answer
x = 596,196.22
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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.