Finding the Third Proportional to 231,804 and 498,270
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Solution
The third proportional to 231,804 and 498,270 is: 1,071,047.06
Step by Step Solution
- Step 1: Write the proportion equation
231,804 : 498,270 = 498,270 : x - Step 2: Convert to fraction form
231,804/498,270 = 498,270/x - Step 3: Cross multiply
231,804x = 498,270 × 498,270 - Step 4: Simplify right side
231,804x = 248,272,992,900 - Step 5: Solve for x
x = 248,272,992,900/231,804 - Step 6: Final answer
x = 1,071,047.06
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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.