Finding the Third Proportional to 270,886 and 402,430
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Solution
The third proportional to 270,886 and 402,430 is: 597,852.62
Step by Step Solution
- Step 1: Write the proportion equation
270,886 : 402,430 = 402,430 : x - Step 2: Convert to fraction form
270,886/402,430 = 402,430/x - Step 3: Cross multiply
270,886x = 402,430 × 402,430 - Step 4: Simplify right side
270,886x = 161,949,904,900 - Step 5: Solve for x
x = 161,949,904,900/270,886 - Step 6: Final answer
x = 597,852.62
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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.