Finding the Third Proportional to 478.50 and 1,047
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Solution
The third proportional to 478.50 and 1,047 is: 2,290.93
Step by Step Solution
- Step 1: Write the proportion equation
478.50 : 1,047 = 1,047 : x - Step 2: Convert to fraction form
478.50/1,047 = 1,047/x - Step 3: Cross multiply
478.50x = 1,047 × 1,047 - Step 4: Simplify right side
478.50x = 1,096,209 - Step 5: Solve for x
x = 1,096,209/478.50 - Step 6: Final answer
x = 2,290.93
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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.