Finding the Third Proportional to 312,053.50 and 456,973
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Solution
The third proportional to 312,053.50 and 456,973 is: 669,193.98
Step by Step Solution
- Step 1: Write the proportion equation
312,053.50 : 456,973 = 456,973 : x - Step 2: Convert to fraction form
312,053.50/456,973 = 456,973/x - Step 3: Cross multiply
312,053.50x = 456,973 × 456,973 - Step 4: Simplify right side
312,053.50x = 208,824,322,729 - Step 5: Solve for x
x = 208,824,322,729/312,053.50 - Step 6: Final answer
x = 669,193.98
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Why These Related Problems?
These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.