Finding the Third Proportional to 235,762 and 509,174
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Solution
The third proportional to 235,762 and 509,174 is: 1,099,660.51
Step by Step Solution
- Step 1: Write the proportion equation
235,762 : 509,174 = 509,174 : x - Step 2: Convert to fraction form
235,762/509,174 = 509,174/x - Step 3: Cross multiply
235,762x = 509,174 × 509,174 - Step 4: Simplify right side
235,762x = 259,258,162,276 - Step 5: Solve for x
x = 259,258,162,276/235,762 - Step 6: Final answer
x = 1,099,660.51
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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.