Finding the Third Proportional to 306,896 and 669,584
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Solution
The third proportional to 306,896 and 669,584 is: 1,460,894.68
Step by Step Solution
- Step 1: Write the proportion equation
306,896 : 669,584 = 669,584 : x - Step 2: Convert to fraction form
306,896/669,584 = 669,584/x - Step 3: Cross multiply
306,896x = 669,584 × 669,584 - Step 4: Simplify right side
306,896x = 448,342,733,056 - Step 5: Solve for x
x = 448,342,733,056/306,896 - Step 6: Final answer
x = 1,460,894.68
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.