Finding the Third Proportional to 215,464 and 473,264
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Solution
The third proportional to 215,464 and 473,264 is: 1,039,518.50
Step by Step Solution
- Step 1: Write the proportion equation
215,464 : 473,264 = 473,264 : x - Step 2: Convert to fraction form
215,464/473,264 = 473,264/x - Step 3: Cross multiply
215,464x = 473,264 × 473,264 - Step 4: Simplify right side
215,464x = 223,978,813,696 - Step 5: Solve for x
x = 223,978,813,696/215,464 - Step 6: Final answer
x = 1,039,518.50
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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.