Finding the Third Proportional to 232,281.75 and 492,474.75
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Solution
The third proportional to 232,281.75 and 492,474.75 is: 1,044,125.85
Step by Step Solution
- Step 1: Write the proportion equation
232,281.75 : 492,474.75 = 492,474.75 : x - Step 2: Convert to fraction form
232,281.75/492,474.75 = 492,474.75/x - Step 3: Cross multiply
232,281.75x = 492,474.75 × 492,474.75 - Step 4: Simplify right side
232,281.75x = 242,531,379,387.56 - Step 5: Solve for x
x = 242,531,379,387.56/232,281.75 - Step 6: Final answer
x = 1,044,125.85
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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.