Finding the Third Proportional to 327,352 and 706,346
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Solution
The third proportional to 327,352 and 706,346 is: 1,524,122.88
Step by Step Solution
- Step 1: Write the proportion equation
327,352 : 706,346 = 706,346 : x - Step 2: Convert to fraction form
327,352/706,346 = 706,346/x - Step 3: Cross multiply
327,352x = 706,346 × 706,346 - Step 4: Simplify right side
327,352x = 498,924,671,716 - Step 5: Solve for x
x = 498,924,671,716/327,352 - Step 6: Final answer
x = 1,524,122.88
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.