Finding the Third Proportional to 224,460 and 491,148
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Solution
The third proportional to 224,460 and 491,148 is: 1,074,696.42
Step by Step Solution
- Step 1: Write the proportion equation
224,460 : 491,148 = 491,148 : x - Step 2: Convert to fraction form
224,460/491,148 = 491,148/x - Step 3: Cross multiply
224,460x = 491,148 × 491,148 - Step 4: Simplify right side
224,460x = 241,226,357,904 - Step 5: Solve for x
x = 241,226,357,904/224,460 - Step 6: Final answer
x = 1,074,696.42
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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.