Finding the Third Proportional to 233,872 and 514,400
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Solution
The third proportional to 233,872 and 514,400 is: 1,131,419.58
Step by Step Solution
- Step 1: Write the proportion equation
233,872 : 514,400 = 514,400 : x - Step 2: Convert to fraction form
233,872/514,400 = 514,400/x - Step 3: Cross multiply
233,872x = 514,400 × 514,400 - Step 4: Simplify right side
233,872x = 264,607,360,000 - Step 5: Solve for x
x = 264,607,360,000/233,872 - Step 6: Final answer
x = 1,131,419.58
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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.