Finding the Third Proportional to 217,056 and 473,280
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Solution
The third proportional to 217,056 and 473,280 is: 1,031,963.91
Step by Step Solution
- Step 1: Write the proportion equation
217,056 : 473,280 = 473,280 : x - Step 2: Convert to fraction form
217,056/473,280 = 473,280/x - Step 3: Cross multiply
217,056x = 473,280 × 473,280 - Step 4: Simplify right side
217,056x = 223,993,958,400 - Step 5: Solve for x
x = 223,993,958,400/217,056 - Step 6: Final answer
x = 1,031,963.91
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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.