Finding the Third Proportional to 287,304 and 384,282
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Solution
The third proportional to 287,304 and 384,282 is: 513,994.43
Step by Step Solution
- Step 1: Write the proportion equation
287,304 : 384,282 = 384,282 : x - Step 2: Convert to fraction form
287,304/384,282 = 384,282/x - Step 3: Cross multiply
287,304x = 384,282 × 384,282 - Step 4: Simplify right side
287,304x = 147,672,655,524 - Step 5: Solve for x
x = 147,672,655,524/287,304 - Step 6: Final answer
x = 513,994.43
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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.