Finding the Third Proportional to 797.50 and 1,513
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Solution
The third proportional to 797.50 and 1,513 is: 2,870.43
Step by Step Solution
- Step 1: Write the proportion equation
797.50 : 1,513 = 1,513 : x - Step 2: Convert to fraction form
797.50/1,513 = 1,513/x - Step 3: Cross multiply
797.50x = 1,513 × 1,513 - Step 4: Simplify right side
797.50x = 2,289,169 - Step 5: Solve for x
x = 2,289,169/797.50 - Step 6: Final answer
x = 2,870.43
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These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.