Finding the Third Proportional to 413,184 and 638,004
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Solution
The third proportional to 413,184 and 638,004 is: 985,152.15
Step by Step Solution
- Step 1: Write the proportion equation
413,184 : 638,004 = 638,004 : x - Step 2: Convert to fraction form
413,184/638,004 = 638,004/x - Step 3: Cross multiply
413,184x = 638,004 × 638,004 - Step 4: Simplify right side
413,184x = 407,049,104,016 - Step 5: Solve for x
x = 407,049,104,016/413,184 - Step 6: Final answer
x = 985,152.15
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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.