Finding the Third Proportional to 233,400 and 509,043
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Solution
The third proportional to 233,400 and 509,043 is: 1,110,217.55
Step by Step Solution
- Step 1: Write the proportion equation
233,400 : 509,043 = 509,043 : x - Step 2: Convert to fraction form
233,400/509,043 = 509,043/x - Step 3: Cross multiply
233,400x = 509,043 × 509,043 - Step 4: Simplify right side
233,400x = 259,124,775,849 - Step 5: Solve for x
x = 259,124,775,849/233,400 - Step 6: Final answer
x = 1,110,217.55
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.