Finding the Third Proportional to 296,254 and 447,002
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Solution
The third proportional to 296,254 and 447,002 is: 674,457.69
Step by Step Solution
- Step 1: Write the proportion equation
296,254 : 447,002 = 447,002 : x - Step 2: Convert to fraction form
296,254/447,002 = 447,002/x - Step 3: Cross multiply
296,254x = 447,002 × 447,002 - Step 4: Simplify right side
296,254x = 199,810,788,004 - Step 5: Solve for x
x = 199,810,788,004/296,254 - Step 6: Final answer
x = 674,457.69
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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.