Finding the Third Proportional to 224,730 and 477,164
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Solution
The third proportional to 224,730 and 477,164 is: 1,013,151.26
Step by Step Solution
- Step 1: Write the proportion equation
224,730 : 477,164 = 477,164 : x - Step 2: Convert to fraction form
224,730/477,164 = 477,164/x - Step 3: Cross multiply
224,730x = 477,164 × 477,164 - Step 4: Simplify right side
224,730x = 227,685,482,896 - Step 5: Solve for x
x = 227,685,482,896/224,730 - Step 6: Final answer
x = 1,013,151.26
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Why These Related Problems?
These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.