Finding the Third Proportional to 224,310 and 492,214
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Solution
The third proportional to 224,310 and 492,214 is: 1,080,088.37
Step by Step Solution
- Step 1: Write the proportion equation
224,310 : 492,214 = 492,214 : x - Step 2: Convert to fraction form
224,310/492,214 = 492,214/x - Step 3: Cross multiply
224,310x = 492,214 × 492,214 - Step 4: Simplify right side
224,310x = 242,274,621,796 - Step 5: Solve for x
x = 242,274,621,796/224,310 - Step 6: Final answer
x = 1,080,088.37
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.