Finding the Third Proportional to 322,022 and 473,181
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Solution
The third proportional to 322,022 and 473,181 is: 695,294.91
Step by Step Solution
- Step 1: Write the proportion equation
322,022 : 473,181 = 473,181 : x - Step 2: Convert to fraction form
322,022/473,181 = 473,181/x - Step 3: Cross multiply
322,022x = 473,181 × 473,181 - Step 4: Simplify right side
322,022x = 223,900,258,761 - Step 5: Solve for x
x = 223,900,258,761/322,022 - Step 6: Final answer
x = 695,294.91
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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.