Finding the Third Proportional to 214,741.50 and 457,920.75
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Solution
The third proportional to 214,741.50 and 457,920.75 is: 976,482.95
Step by Step Solution
- Step 1: Write the proportion equation
214,741.50 : 457,920.75 = 457,920.75 : x - Step 2: Convert to fraction form
214,741.50/457,920.75 = 457,920.75/x - Step 3: Cross multiply
214,741.50x = 457,920.75 × 457,920.75 - Step 4: Simplify right side
214,741.50x = 209,691,413,280.56 - Step 5: Solve for x
x = 209,691,413,280.56/214,741.50 - Step 6: Final answer
x = 976,482.95
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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.