Finding the Third Proportional to 320,916 and 493,314
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Solution
The third proportional to 320,916 and 493,314 is: 758,325.24
Step by Step Solution
- Step 1: Write the proportion equation
320,916 : 493,314 = 493,314 : x - Step 2: Convert to fraction form
320,916/493,314 = 493,314/x - Step 3: Cross multiply
320,916x = 493,314 × 493,314 - Step 4: Simplify right side
320,916x = 243,358,702,596 - Step 5: Solve for x
x = 243,358,702,596/320,916 - Step 6: Final answer
x = 758,325.24
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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.