Finding the Third Proportional to 291,633 and 417,036
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Solution
The third proportional to 291,633 and 417,036 is: 596,362.64
Step by Step Solution
- Step 1: Write the proportion equation
291,633 : 417,036 = 417,036 : x - Step 2: Convert to fraction form
291,633/417,036 = 417,036/x - Step 3: Cross multiply
291,633x = 417,036 × 417,036 - Step 4: Simplify right side
291,633x = 173,919,025,296 - Step 5: Solve for x
x = 173,919,025,296/291,633 - Step 6: Final answer
x = 596,362.64
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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.