Finding the Third Proportional to 227,088 and 492,814
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Solution
The third proportional to 227,088 and 492,814 is: 1,069,478.08
Step by Step Solution
- Step 1: Write the proportion equation
227,088 : 492,814 = 492,814 : x - Step 2: Convert to fraction form
227,088/492,814 = 492,814/x - Step 3: Cross multiply
227,088x = 492,814 × 492,814 - Step 4: Simplify right side
227,088x = 242,865,638,596 - Step 5: Solve for x
x = 242,865,638,596/227,088 - Step 6: Final answer
x = 1,069,478.08
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.