Finding the Third Proportional to 468 and 970
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Solution
The third proportional to 468 and 970 is: 2,010.47
Step by Step Solution
- Step 1: Write the proportion equation
468 : 970 = 970 : x - Step 2: Convert to fraction form
468/970 = 970/x - Step 3: Cross multiply
468x = 970 × 970 - Step 4: Simplify right side
468x = 940,900 - Step 5: Solve for x
x = 940,900/468 - Step 6: Final answer
x = 2,010.47
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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.