Finding the Third Proportional to 229,411 and 492,047
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Solution
The third proportional to 229,411 and 492,047 is: 1,055,355.89
Step by Step Solution
- Step 1: Write the proportion equation
229,411 : 492,047 = 492,047 : x - Step 2: Convert to fraction form
229,411/492,047 = 492,047/x - Step 3: Cross multiply
229,411x = 492,047 × 492,047 - Step 4: Simplify right side
229,411x = 242,110,250,209 - Step 5: Solve for x
x = 242,110,250,209/229,411 - Step 6: Final answer
x = 1,055,355.89
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.