Finding the Third Proportional to 414,480 and 894,300
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Solution
The third proportional to 414,480 and 894,300 is: 1,929,580.41
Step by Step Solution
- Step 1: Write the proportion equation
414,480 : 894,300 = 894,300 : x - Step 2: Convert to fraction form
414,480/894,300 = 894,300/x - Step 3: Cross multiply
414,480x = 894,300 × 894,300 - Step 4: Simplify right side
414,480x = 799,772,490,000 - Step 5: Solve for x
x = 799,772,490,000/414,480 - Step 6: Final answer
x = 1,929,580.41
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.