Finding the Third Proportional to 242,754 and 495,148
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Solution
The third proportional to 242,754 and 495,148 is: 1,009,958.81
Step by Step Solution
- Step 1: Write the proportion equation
242,754 : 495,148 = 495,148 : x - Step 2: Convert to fraction form
242,754/495,148 = 495,148/x - Step 3: Cross multiply
242,754x = 495,148 × 495,148 - Step 4: Simplify right side
242,754x = 245,171,541,904 - Step 5: Solve for x
x = 245,171,541,904/242,754 - Step 6: Final answer
x = 1,009,958.81
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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.