Finding the Third Proportional to 228,420 and 526,446
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Solution
The third proportional to 228,420 and 526,446 is: 1,213,314.91
Step by Step Solution
- Step 1: Write the proportion equation
228,420 : 526,446 = 526,446 : x - Step 2: Convert to fraction form
228,420/526,446 = 526,446/x - Step 3: Cross multiply
228,420x = 526,446 × 526,446 - Step 4: Simplify right side
228,420x = 277,145,390,916 - Step 5: Solve for x
x = 277,145,390,916/228,420 - Step 6: Final answer
x = 1,213,314.91
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Why These Related Problems?
These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.