Finding the Third Proportional to 324,234.14 and 517,971.59
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Solution
The third proportional to 324,234.14 and 517,971.59 is: 827,471.66
Step by Step Solution
- Step 1: Write the proportion equation
324,234.14 : 517,971.59 = 517,971.59 : x - Step 2: Convert to fraction form
324,234.14/517,971.59 = 517,971.59/x - Step 3: Cross multiply
324,234.14x = 517,971.59 × 517,971.59 - Step 4: Simplify right side
324,234.14x = 268,294,563,838.61 - Step 5: Solve for x
x = 268,294,563,838.61/324,234.14 - Step 6: Final answer
x = 827,471.66
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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.