Finding the Third Proportional to 229,652 and 492,522
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Solution
The third proportional to 229,652 and 492,522 is: 1,056,284.82
Step by Step Solution
- Step 1: Write the proportion equation
229,652 : 492,522 = 492,522 : x - Step 2: Convert to fraction form
229,652/492,522 = 492,522/x - Step 3: Cross multiply
229,652x = 492,522 × 492,522 - Step 4: Simplify right side
229,652x = 242,577,920,484 - Step 5: Solve for x
x = 242,577,920,484/229,652 - Step 6: Final answer
x = 1,056,284.82
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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.