Finding the Third Proportional to 214,504 and 498,712
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Solution
The third proportional to 214,504 and 498,712 is: 1,159,482.62
Step by Step Solution
- Step 1: Write the proportion equation
214,504 : 498,712 = 498,712 : x - Step 2: Convert to fraction form
214,504/498,712 = 498,712/x - Step 3: Cross multiply
214,504x = 498,712 × 498,712 - Step 4: Simplify right side
214,504x = 248,713,658,944 - Step 5: Solve for x
x = 248,713,658,944/214,504 - Step 6: Final answer
x = 1,159,482.62
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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.