Finding the Third Proportional to 384,648 and 837,025
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Solution
The third proportional to 384,648 and 837,025 is: 1,821,433.75
Step by Step Solution
- Step 1: Write the proportion equation
384,648 : 837,025 = 837,025 : x - Step 2: Convert to fraction form
384,648/837,025 = 837,025/x - Step 3: Cross multiply
384,648x = 837,025 × 837,025 - Step 4: Simplify right side
384,648x = 700,610,850,625 - Step 5: Solve for x
x = 700,610,850,625/384,648 - Step 6: Final answer
x = 1,821,433.75
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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.