Finding the Third Proportional to 490 and 882
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Solution
The third proportional to 490 and 882 is: 1,587.60
Step by Step Solution
- Step 1: Write the proportion equation
490 : 882 = 882 : x - Step 2: Convert to fraction form
490/882 = 882/x - Step 3: Cross multiply
490x = 882 × 882 - Step 4: Simplify right side
490x = 777,924 - Step 5: Solve for x
x = 777,924/490 - Step 6: Final answer
x = 1,587.60
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These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.