Finding the Third Proportional to 302,216 and 408,946
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Solution
The third proportional to 302,216 and 408,946 is: 553,368.55
Step by Step Solution
- Step 1: Write the proportion equation
302,216 : 408,946 = 408,946 : x - Step 2: Convert to fraction form
302,216/408,946 = 408,946/x - Step 3: Cross multiply
302,216x = 408,946 × 408,946 - Step 4: Simplify right side
302,216x = 167,236,830,916 - Step 5: Solve for x
x = 167,236,830,916/302,216 - Step 6: Final answer
x = 553,368.55
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Why These Related Problems?
These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.