Finding the Third Proportional to 476,298 and 677,025
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Solution
The third proportional to 476,298 and 677,025 is: 962,344.69
Step by Step Solution
- Step 1: Write the proportion equation
476,298 : 677,025 = 677,025 : x - Step 2: Convert to fraction form
476,298/677,025 = 677,025/x - Step 3: Cross multiply
476,298x = 677,025 × 677,025 - Step 4: Simplify right side
476,298x = 458,362,850,625 - Step 5: Solve for x
x = 458,362,850,625/476,298 - Step 6: Final answer
x = 962,344.69
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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.