Finding the Third Proportional to 414,713 and 634,098
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Solution
The third proportional to 414,713 and 634,098 is: 969,538.63
Step by Step Solution
- Step 1: Write the proportion equation
414,713 : 634,098 = 634,098 : x - Step 2: Convert to fraction form
414,713/634,098 = 634,098/x - Step 3: Cross multiply
414,713x = 634,098 × 634,098 - Step 4: Simplify right side
414,713x = 402,080,273,604 - Step 5: Solve for x
x = 402,080,273,604/414,713 - Step 6: Final answer
x = 969,538.63
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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.