Finding the Third Proportional to 288,948 and 383,505
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Solution
The third proportional to 288,948 and 383,505 is: 509,005.37
Step by Step Solution
- Step 1: Write the proportion equation
288,948 : 383,505 = 383,505 : x - Step 2: Convert to fraction form
288,948/383,505 = 383,505/x - Step 3: Cross multiply
288,948x = 383,505 × 383,505 - Step 4: Simplify right side
288,948x = 147,076,085,025 - Step 5: Solve for x
x = 147,076,085,025/288,948 - Step 6: Final answer
x = 509,005.37
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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.