Finding the Third Proportional to 217,496 and 476,464
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Solution
The third proportional to 217,496 and 476,464 is: 1,043,779.85
Step by Step Solution
- Step 1: Write the proportion equation
217,496 : 476,464 = 476,464 : x - Step 2: Convert to fraction form
217,496/476,464 = 476,464/x - Step 3: Cross multiply
217,496x = 476,464 × 476,464 - Step 4: Simplify right side
217,496x = 227,017,943,296 - Step 5: Solve for x
x = 227,017,943,296/217,496 - Step 6: Final answer
x = 1,043,779.85
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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.