Finding the Third Proportional to 216,256 and 473,968
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Solution
The third proportional to 216,256 and 473,968 is: 1,038,795.06
Step by Step Solution
- Step 1: Write the proportion equation
216,256 : 473,968 = 473,968 : x - Step 2: Convert to fraction form
216,256/473,968 = 473,968/x - Step 3: Cross multiply
216,256x = 473,968 × 473,968 - Step 4: Simplify right side
216,256x = 224,645,665,024 - Step 5: Solve for x
x = 224,645,665,024/216,256 - Step 6: Final answer
x = 1,038,795.06
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.