Finding the Third Proportional to 809.50 and 1,282
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Solution
The third proportional to 809.50 and 1,282 is: 2,030.30
Step by Step Solution
- Step 1: Write the proportion equation
809.50 : 1,282 = 1,282 : x - Step 2: Convert to fraction form
809.50/1,282 = 1,282/x - Step 3: Cross multiply
809.50x = 1,282 × 1,282 - Step 4: Simplify right side
809.50x = 1,643,524 - Step 5: Solve for x
x = 1,643,524/809.50 - Step 6: Final answer
x = 2,030.30
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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.