Finding the Third Proportional to 409,276,000.13 and 629,093,283.75
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Solution
The third proportional to 409,276,000.13 and 629,093,283.75 is: 966,971,822.29
Step by Step Solution
- Step 1: Write the proportion equation
409,276,000.13 : 629,093,283.75 = 629,093,283.75 : x - Step 2: Convert to fraction form
409,276,000.13/629,093,283.75 = 629,093,283.75/x - Step 3: Cross multiply
409,276,000.13x = 629,093,283.75 × 629,093,283.75 - Step 4: Simplify right side
409,276,000.13x = 395,758,359,659,358,016 - Step 5: Solve for x
x = 395,758,359,659,358,016/409,276,000.13 - Step 6: Final answer
x = 966,971,822.29
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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.