Finding the Third Proportional to 473,715.75 and 728,145
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Solution
The third proportional to 473,715.75 and 728,145 is: 1,119,226.33
Step by Step Solution
- Step 1: Write the proportion equation
473,715.75 : 728,145 = 728,145 : x - Step 2: Convert to fraction form
473,715.75/728,145 = 728,145/x - Step 3: Cross multiply
473,715.75x = 728,145 × 728,145 - Step 4: Simplify right side
473,715.75x = 530,195,141,025 - Step 5: Solve for x
x = 530,195,141,025/473,715.75 - Step 6: Final answer
x = 1,119,226.33
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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.