Finding the Third Proportional to 309,217.50 and 441,002.25
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Solution
The third proportional to 309,217.50 and 441,002.25 is: 628,952.06
Step by Step Solution
- Step 1: Write the proportion equation
309,217.50 : 441,002.25 = 441,002.25 : x - Step 2: Convert to fraction form
309,217.50/441,002.25 = 441,002.25/x - Step 3: Cross multiply
309,217.50x = 441,002.25 × 441,002.25 - Step 4: Simplify right side
309,217.50x = 194,482,984,505.06 - Step 5: Solve for x
x = 194,482,984,505.06/309,217.50 - Step 6: Final answer
x = 628,952.06
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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.