Finding the Third Proportional to 214,472 and 464,248
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Solution
The third proportional to 214,472 and 464,248 is: 1,004,915.35
Step by Step Solution
- Step 1: Write the proportion equation
214,472 : 464,248 = 464,248 : x - Step 2: Convert to fraction form
214,472/464,248 = 464,248/x - Step 3: Cross multiply
214,472x = 464,248 × 464,248 - Step 4: Simplify right side
214,472x = 215,526,205,504 - Step 5: Solve for x
x = 215,526,205,504/214,472 - Step 6: Final answer
x = 1,004,915.35
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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.