Finding the Third Proportional to 306,522 and 654,948
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Solution
The third proportional to 306,522 and 654,948 is: 1,399,432.61
Step by Step Solution
- Step 1: Write the proportion equation
306,522 : 654,948 = 654,948 : x - Step 2: Convert to fraction form
306,522/654,948 = 654,948/x - Step 3: Cross multiply
306,522x = 654,948 × 654,948 - Step 4: Simplify right side
306,522x = 428,956,882,704 - Step 5: Solve for x
x = 428,956,882,704/306,522 - Step 6: Final answer
x = 1,399,432.61
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.