Finding the Third Proportional to 217,418 and 473,432
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Solution
The third proportional to 217,418 and 473,432 is: 1,030,907.55
Step by Step Solution
- Step 1: Write the proportion equation
217,418 : 473,432 = 473,432 : x - Step 2: Convert to fraction form
217,418/473,432 = 473,432/x - Step 3: Cross multiply
217,418x = 473,432 × 473,432 - Step 4: Simplify right side
217,418x = 224,137,858,624 - Step 5: Solve for x
x = 224,137,858,624/217,418 - Step 6: Final answer
x = 1,030,907.55
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.