Finding the Third Proportional to 217,830 and 469,032
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Solution
The third proportional to 217,830 and 469,032 is: 1,009,920.66
Step by Step Solution
- Step 1: Write the proportion equation
217,830 : 469,032 = 469,032 : x - Step 2: Convert to fraction form
217,830/469,032 = 469,032/x - Step 3: Cross multiply
217,830x = 469,032 × 469,032 - Step 4: Simplify right side
217,830x = 219,991,017,024 - Step 5: Solve for x
x = 219,991,017,024/217,830 - Step 6: Final answer
x = 1,009,920.66
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Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.