Finding the Third Proportional to 288,213 and 460,426
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Solution
The third proportional to 288,213 and 460,426 is: 735,539.69
Step by Step Solution
- Step 1: Write the proportion equation
288,213 : 460,426 = 460,426 : x - Step 2: Convert to fraction form
288,213/460,426 = 460,426/x - Step 3: Cross multiply
288,213x = 460,426 × 460,426 - Step 4: Simplify right side
288,213x = 211,992,101,476 - Step 5: Solve for x
x = 211,992,101,476/288,213 - Step 6: Final answer
x = 735,539.69
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Why These Related Problems?
These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.