Finding the Third Proportional to 233,408 and 512,000
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Solution
The third proportional to 233,408 and 512,000 is: 1,123,114.89
Step by Step Solution
- Step 1: Write the proportion equation
233,408 : 512,000 = 512,000 : x - Step 2: Convert to fraction form
233,408/512,000 = 512,000/x - Step 3: Cross multiply
233,408x = 512,000 × 512,000 - Step 4: Simplify right side
233,408x = 262,144,000,000 - Step 5: Solve for x
x = 262,144,000,000/233,408 - Step 6: Final answer
x = 1,123,114.89
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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.