Finding the Third Proportional to 415,211.50 and 897,005
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Solution
The third proportional to 415,211.50 and 897,005 is: 1,937,850.88
Step by Step Solution
- Step 1: Write the proportion equation
415,211.50 : 897,005 = 897,005 : x - Step 2: Convert to fraction form
415,211.50/897,005 = 897,005/x - Step 3: Cross multiply
415,211.50x = 897,005 × 897,005 - Step 4: Simplify right side
415,211.50x = 804,617,970,025 - Step 5: Solve for x
x = 804,617,970,025/415,211.50 - Step 6: Final answer
x = 1,937,850.88
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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.