Finding the Third Proportional to 419,570 and 645,282
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Solution
The third proportional to 419,570 and 645,282 is: 992,418.09
Step by Step Solution
- Step 1: Write the proportion equation
419,570 : 645,282 = 645,282 : x - Step 2: Convert to fraction form
419,570/645,282 = 645,282/x - Step 3: Cross multiply
419,570x = 645,282 × 645,282 - Step 4: Simplify right side
419,570x = 416,388,859,524 - Step 5: Solve for x
x = 416,388,859,524/419,570 - Step 6: Final answer
x = 992,418.09
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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.