Finding the Third Proportional to 906 and 1,308
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Solution
The third proportional to 906 and 1,308 is: 1,888.37
Step by Step Solution
- Step 1: Write the proportion equation
906 : 1,308 = 1,308 : x - Step 2: Convert to fraction form
906/1,308 = 1,308/x - Step 3: Cross multiply
906x = 1,308 × 1,308 - Step 4: Simplify right side
906x = 1,710,864 - Step 5: Solve for x
x = 1,710,864/906 - Step 6: Final answer
x = 1,888.37
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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.