Finding the Third Proportional to 412,924.50 and 638,206
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Solution
The third proportional to 412,924.50 and 638,206 is: 986,395.57
Step by Step Solution
- Step 1: Write the proportion equation
412,924.50 : 638,206 = 638,206 : x - Step 2: Convert to fraction form
412,924.50/638,206 = 638,206/x - Step 3: Cross multiply
412,924.50x = 638,206 × 638,206 - Step 4: Simplify right side
412,924.50x = 407,306,898,436 - Step 5: Solve for x
x = 407,306,898,436/412,924.50 - Step 6: Final answer
x = 986,395.57
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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.