Finding the Third Proportional to 506.25 and 1,083
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Solution
The third proportional to 506.25 and 1,083 is: 2,316.82
Step by Step Solution
- Step 1: Write the proportion equation
506.25 : 1,083 = 1,083 : x - Step 2: Convert to fraction form
506.25/1,083 = 1,083/x - Step 3: Cross multiply
506.25x = 1,083 × 1,083 - Step 4: Simplify right side
506.25x = 1,172,889 - Step 5: Solve for x
x = 1,172,889/506.25 - Step 6: Final answer
x = 2,316.82
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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.