Finding the Third Proportional to 1,356.19 and 1,497.94
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Solution
The third proportional to 1,356.19 and 1,497.94 is: 1,654.50
Step by Step Solution
- Step 1: Write the proportion equation
1,356.19 : 1,497.94 = 1,497.94 : x - Step 2: Convert to fraction form
1,356.19/1,497.94 = 1,497.94/x - Step 3: Cross multiply
1,356.19x = 1,497.94 × 1,497.94 - Step 4: Simplify right side
1,356.19x = 2,243,816.75 - Step 5: Solve for x
x = 2,243,816.75/1,356.19 - Step 6: Final answer
x = 1,654.50
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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.