Finding the Third Proportional to 314,250 and 683,142
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Solution
The third proportional to 314,250 and 683,142 is: 1,485,069.19
Step by Step Solution
- Step 1: Write the proportion equation
314,250 : 683,142 = 683,142 : x - Step 2: Convert to fraction form
314,250/683,142 = 683,142/x - Step 3: Cross multiply
314,250x = 683,142 × 683,142 - Step 4: Simplify right side
314,250x = 466,682,992,164 - Step 5: Solve for x
x = 466,682,992,164/314,250 - Step 6: Final answer
x = 1,485,069.19
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.