Finding the Third Proportional to 303,820 and 654,386
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Solution
The third proportional to 303,820 and 654,386 is: 1,409,456.38
Step by Step Solution
- Step 1: Write the proportion equation
303,820 : 654,386 = 654,386 : x - Step 2: Convert to fraction form
303,820/654,386 = 654,386/x - Step 3: Cross multiply
303,820x = 654,386 × 654,386 - Step 4: Simplify right side
303,820x = 428,221,036,996 - Step 5: Solve for x
x = 428,221,036,996/303,820 - Step 6: Final answer
x = 1,409,456.38
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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.