Finding the Third Proportional to 224,784 and 484,416
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Solution
The third proportional to 224,784 and 484,416 is: 1,043,930.44
Step by Step Solution
- Step 1: Write the proportion equation
224,784 : 484,416 = 484,416 : x - Step 2: Convert to fraction form
224,784/484,416 = 484,416/x - Step 3: Cross multiply
224,784x = 484,416 × 484,416 - Step 4: Simplify right side
224,784x = 234,658,861,056 - Step 5: Solve for x
x = 234,658,861,056/224,784 - Step 6: Final answer
x = 1,043,930.44
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.