Finding the Third Proportional to 414,816.19 and 560,449.13
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Solution
The third proportional to 414,816.19 and 560,449.13 is: 757,210.62
Step by Step Solution
- Step 1: Write the proportion equation
414,816.19 : 560,449.13 = 560,449.13 : x - Step 2: Convert to fraction form
414,816.19/560,449.13 = 560,449.13/x - Step 3: Cross multiply
414,816.19x = 560,449.13 × 560,449.13 - Step 4: Simplify right side
414,816.19x = 314,103,221,713.27 - Step 5: Solve for x
x = 314,103,221,713.27/414,816.19 - Step 6: Final answer
x = 757,210.62
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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.