Finding the Third Proportional to 490.50 and 715.50
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Solution
The third proportional to 490.50 and 715.50 is: 1,043.71
Step by Step Solution
- Step 1: Write the proportion equation
490.50 : 715.50 = 715.50 : x - Step 2: Convert to fraction form
490.50/715.50 = 715.50/x - Step 3: Cross multiply
490.50x = 715.50 × 715.50 - Step 4: Simplify right side
490.50x = 511,940.25 - Step 5: Solve for x
x = 511,940.25/490.50 - Step 6: Final answer
x = 1,043.71
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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.