Finding the Third Proportional to 498,424 and 783,340
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Solution
The third proportional to 498,424 and 783,340 is: 1,231,123.61
Step by Step Solution
- Step 1: Write the proportion equation
498,424 : 783,340 = 783,340 : x - Step 2: Convert to fraction form
498,424/783,340 = 783,340/x - Step 3: Cross multiply
498,424x = 783,340 × 783,340 - Step 4: Simplify right side
498,424x = 613,621,555,600 - Step 5: Solve for x
x = 613,621,555,600/498,424 - Step 6: Final answer
x = 1,231,123.61
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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.