Finding the Third Proportional to 298,971 and 449,712
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Solution
The third proportional to 298,971 and 449,712 is: 676,456.52
Step by Step Solution
- Step 1: Write the proportion equation
298,971 : 449,712 = 449,712 : x - Step 2: Convert to fraction form
298,971/449,712 = 449,712/x - Step 3: Cross multiply
298,971x = 449,712 × 449,712 - Step 4: Simplify right side
298,971x = 202,240,882,944 - Step 5: Solve for x
x = 202,240,882,944/298,971 - Step 6: Final answer
x = 676,456.52
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.