Finding the Third Proportional to 229,408 and 492,040
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Solution
The third proportional to 229,408 and 492,040 is: 1,055,339.66
Step by Step Solution
- Step 1: Write the proportion equation
229,408 : 492,040 = 492,040 : x - Step 2: Convert to fraction form
229,408/492,040 = 492,040/x - Step 3: Cross multiply
229,408x = 492,040 × 492,040 - Step 4: Simplify right side
229,408x = 242,103,361,600 - Step 5: Solve for x
x = 242,103,361,600/229,408 - Step 6: Final answer
x = 1,055,339.66
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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.