Finding the Third Proportional to 294 and 565
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Solution
The third proportional to 294 and 565 is: 1,085.80
Step by Step Solution
- Step 1: Write the proportion equation
294 : 565 = 565 : x - Step 2: Convert to fraction form
294/565 = 565/x - Step 3: Cross multiply
294x = 565 × 565 - Step 4: Simplify right side
294x = 319,225 - Step 5: Solve for x
x = 319,225/294 - Step 6: Final answer
x = 1,085.80
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Why These Related Problems?
These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.