Finding the Third Proportional to 578,367 and 864,148
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Solution
The third proportional to 578,367 and 864,148 is: 1,291,138.27
Step by Step Solution
- Step 1: Write the proportion equation
578,367 : 864,148 = 864,148 : x - Step 2: Convert to fraction form
578,367/864,148 = 864,148/x - Step 3: Cross multiply
578,367x = 864,148 × 864,148 - Step 4: Simplify right side
578,367x = 746,751,765,904 - Step 5: Solve for x
x = 746,751,765,904/578,367 - Step 6: Final answer
x = 1,291,138.27
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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.