Finding the Third Proportional to 301,016 and 409,997.50
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Solution
The third proportional to 301,016 and 409,997.50 is: 558,435.27
Step by Step Solution
- Step 1: Write the proportion equation
301,016 : 409,997.50 = 409,997.50 : x - Step 2: Convert to fraction form
301,016/409,997.50 = 409,997.50/x - Step 3: Cross multiply
301,016x = 409,997.50 × 409,997.50 - Step 4: Simplify right side
301,016x = 168,097,950,006.25 - Step 5: Solve for x
x = 168,097,950,006.25/301,016 - Step 6: Final answer
x = 558,435.27
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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.