Finding the Third Proportional to 216,969.50 and 470,025
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Solution
The third proportional to 216,969.50 and 470,025 is: 1,018,223.76
Step by Step Solution
- Step 1: Write the proportion equation
216,969.50 : 470,025 = 470,025 : x - Step 2: Convert to fraction form
216,969.50/470,025 = 470,025/x - Step 3: Cross multiply
216,969.50x = 470,025 × 470,025 - Step 4: Simplify right side
216,969.50x = 220,923,500,625 - Step 5: Solve for x
x = 220,923,500,625/216,969.50 - Step 6: Final answer
x = 1,018,223.76
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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.