Finding the Third Proportional to 713 and 1,026.50
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Solution
The third proportional to 713 and 1,026.50 is: 1,477.84
Step by Step Solution
- Step 1: Write the proportion equation
713 : 1,026.50 = 1,026.50 : x - Step 2: Convert to fraction form
713/1,026.50 = 1,026.50/x - Step 3: Cross multiply
713x = 1,026.50 × 1,026.50 - Step 4: Simplify right side
713x = 1,053,702.25 - Step 5: Solve for x
x = 1,053,702.25/713 - Step 6: Final answer
x = 1,477.84
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Why These Related Problems?
These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.