Finding the Third Proportional to 509,302 and 1,079,316
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Solution
The third proportional to 509,302 and 1,079,316 is: 2,287,293.25
Step by Step Solution
- Step 1: Write the proportion equation
509,302 : 1,079,316 = 1,079,316 : x - Step 2: Convert to fraction form
509,302/1,079,316 = 1,079,316/x - Step 3: Cross multiply
509,302x = 1,079,316 × 1,079,316 - Step 4: Simplify right side
509,302x = 1,164,923,027,856 - Step 5: Solve for x
x = 1,164,923,027,856/509,302 - Step 6: Final answer
x = 2,287,293.25
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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.