Finding the Third Proportional to 474 and 978
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Solution
The third proportional to 474 and 978 is: 2,017.90
Step by Step Solution
- Step 1: Write the proportion equation
474 : 978 = 978 : x - Step 2: Convert to fraction form
474/978 = 978/x - Step 3: Cross multiply
474x = 978 × 978 - Step 4: Simplify right side
474x = 956,484 - Step 5: Solve for x
x = 956,484/474 - Step 6: Final answer
x = 2,017.90
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These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.