Finding the Third Proportional to 382,176 and 817,920
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Solution
The third proportional to 382,176 and 817,920 is: 1,750,484.40
Step by Step Solution
- Step 1: Write the proportion equation
382,176 : 817,920 = 817,920 : x - Step 2: Convert to fraction form
382,176/817,920 = 817,920/x - Step 3: Cross multiply
382,176x = 817,920 × 817,920 - Step 4: Simplify right side
382,176x = 668,993,126,400 - Step 5: Solve for x
x = 668,993,126,400/382,176 - Step 6: Final answer
x = 1,750,484.40
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.