Finding the Third Proportional to 432,284 and 931,152
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Solution
The third proportional to 432,284 and 931,152 is: 2,005,727.83
Step by Step Solution
- Step 1: Write the proportion equation
432,284 : 931,152 = 931,152 : x - Step 2: Convert to fraction form
432,284/931,152 = 931,152/x - Step 3: Cross multiply
432,284x = 931,152 × 931,152 - Step 4: Simplify right side
432,284x = 867,044,047,104 - Step 5: Solve for x
x = 867,044,047,104/432,284 - Step 6: Final answer
x = 2,005,727.83
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Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.