Finding the Third Proportional to 729 and 942
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Solution
The third proportional to 729 and 942 is: 1,217.23
Step by Step Solution
- Step 1: Write the proportion equation
729 : 942 = 942 : x - Step 2: Convert to fraction form
729/942 = 942/x - Step 3: Cross multiply
729x = 942 × 942 - Step 4: Simplify right side
729x = 887,364 - Step 5: Solve for x
x = 887,364/729 - Step 6: Final answer
x = 1,217.23
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Why These Related Problems?
These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.