Finding the Third Proportional to 538 and 917
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Solution
The third proportional to 538 and 917 is: 1,562.99
Step by Step Solution
- Step 1: Write the proportion equation
538 : 917 = 917 : x - Step 2: Convert to fraction form
538/917 = 917/x - Step 3: Cross multiply
538x = 917 × 917 - Step 4: Simplify right side
538x = 840,889 - Step 5: Solve for x
x = 840,889/538 - Step 6: Final answer
x = 1,562.99
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These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.