Finding the Third Proportional to 420 and 772
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Solution
The third proportional to 420 and 772 is: 1,419.01
Step by Step Solution
- Step 1: Write the proportion equation
420 : 772 = 772 : x - Step 2: Convert to fraction form
420/772 = 772/x - Step 3: Cross multiply
420x = 772 × 772 - Step 4: Simplify right side
420x = 595,984 - Step 5: Solve for x
x = 595,984/420 - Step 6: Final answer
x = 1,419.01
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These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.