Finding the Third Proportional to 274,284 and 411,426
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Solution
The third proportional to 274,284 and 411,426 is: 617,139
Step by Step Solution
- Step 1: Write the proportion equation
274,284 : 411,426 = 411,426 : x - Step 2: Convert to fraction form
274,284/411,426 = 411,426/x - Step 3: Cross multiply
274,284x = 411,426 × 411,426 - Step 4: Simplify right side
274,284x = 169,271,353,476 - Step 5: Solve for x
x = 169,271,353,476/274,284 - Step 6: Final answer
x = 617,139
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.