Finding the Third Proportional to 271,657.50 and 590,022
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Solution
The third proportional to 271,657.50 and 590,022 is: 1,281,488.49
Step by Step Solution
- Step 1: Write the proportion equation
271,657.50 : 590,022 = 590,022 : x - Step 2: Convert to fraction form
271,657.50/590,022 = 590,022/x - Step 3: Cross multiply
271,657.50x = 590,022 × 590,022 - Step 4: Simplify right side
271,657.50x = 348,125,960,484 - Step 5: Solve for x
x = 348,125,960,484/271,657.50 - Step 6: Final answer
x = 1,281,488.49
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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.