Finding the Third Proportional to 233,057 and 507,633
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Solution
The third proportional to 233,057 and 507,633 is: 1,105,700.59
Step by Step Solution
- Step 1: Write the proportion equation
233,057 : 507,633 = 507,633 : x - Step 2: Convert to fraction form
233,057/507,633 = 507,633/x - Step 3: Cross multiply
233,057x = 507,633 × 507,633 - Step 4: Simplify right side
233,057x = 257,691,262,689 - Step 5: Solve for x
x = 257,691,262,689/233,057 - Step 6: Final answer
x = 1,105,700.59
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.