Finding the Third Proportional to 906 and 1,480
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Solution
The third proportional to 906 and 1,480 is: 2,417.66
Step by Step Solution
- Step 1: Write the proportion equation
906 : 1,480 = 1,480 : x - Step 2: Convert to fraction form
906/1,480 = 1,480/x - Step 3: Cross multiply
906x = 1,480 × 1,480 - Step 4: Simplify right side
906x = 2,190,400 - Step 5: Solve for x
x = 2,190,400/906 - Step 6: Final answer
x = 2,417.66
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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.