Finding the Third Proportional to 322,216 and 706,404
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Solution
The third proportional to 322,216 and 706,404 is: 1,548,671.11
Step by Step Solution
- Step 1: Write the proportion equation
322,216 : 706,404 = 706,404 : x - Step 2: Convert to fraction form
322,216/706,404 = 706,404/x - Step 3: Cross multiply
322,216x = 706,404 × 706,404 - Step 4: Simplify right side
322,216x = 499,006,611,216 - Step 5: Solve for x
x = 499,006,611,216/322,216 - Step 6: Final answer
x = 1,548,671.11
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.