Finding the Third Proportional to 414,720 and 908,256
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Solution
The third proportional to 414,720 and 908,256 is: 1,989,122.69
Step by Step Solution
- Step 1: Write the proportion equation
414,720 : 908,256 = 908,256 : x - Step 2: Convert to fraction form
414,720/908,256 = 908,256/x - Step 3: Cross multiply
414,720x = 908,256 × 908,256 - Step 4: Simplify right side
414,720x = 824,928,961,536 - Step 5: Solve for x
x = 824,928,961,536/414,720 - Step 6: Final answer
x = 1,989,122.69
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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.