Finding the Third Proportional to 224,732 and 491,444
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Solution
The third proportional to 224,732 and 491,444 is: 1,074,689.88
Step by Step Solution
- Step 1: Write the proportion equation
224,732 : 491,444 = 491,444 : x - Step 2: Convert to fraction form
224,732/491,444 = 491,444/x - Step 3: Cross multiply
224,732x = 491,444 × 491,444 - Step 4: Simplify right side
224,732x = 241,517,205,136 - Step 5: Solve for x
x = 241,517,205,136/224,732 - Step 6: Final answer
x = 1,074,689.88
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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.