Finding the Third Proportional to 294,259.75 and 416,491.75
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Solution
The third proportional to 294,259.75 and 416,491.75 is: 589,497.47
Step by Step Solution
- Step 1: Write the proportion equation
294,259.75 : 416,491.75 = 416,491.75 : x - Step 2: Convert to fraction form
294,259.75/416,491.75 = 416,491.75/x - Step 3: Cross multiply
294,259.75x = 416,491.75 × 416,491.75 - Step 4: Simplify right side
294,259.75x = 173,465,377,818.06 - Step 5: Solve for x
x = 173,465,377,818.06/294,259.75 - Step 6: Final answer
x = 589,497.47
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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.