Finding the Third Proportional to 353,500 and 747,942
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Solution
The third proportional to 353,500 and 747,942 is: 1,582,509.86
Step by Step Solution
- Step 1: Write the proportion equation
353,500 : 747,942 = 747,942 : x - Step 2: Convert to fraction form
353,500/747,942 = 747,942/x - Step 3: Cross multiply
353,500x = 747,942 × 747,942 - Step 4: Simplify right side
353,500x = 559,417,235,364 - Step 5: Solve for x
x = 559,417,235,364/353,500 - Step 6: Final answer
x = 1,582,509.86
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Why These Related Problems?
These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.