Finding the Third Proportional to 224,430 and 491,094
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Solution
The third proportional to 224,430 and 491,094 is: 1,074,603.74
Step by Step Solution
- Step 1: Write the proportion equation
224,430 : 491,094 = 491,094 : x - Step 2: Convert to fraction form
224,430/491,094 = 491,094/x - Step 3: Cross multiply
224,430x = 491,094 × 491,094 - Step 4: Simplify right side
224,430x = 241,173,316,836 - Step 5: Solve for x
x = 241,173,316,836/224,430 - Step 6: Final answer
x = 1,074,603.74
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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.