Finding the Third Proportional to 233,769 and 507,390
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Solution
The third proportional to 233,769 and 507,390 is: 1,101,277.81
Step by Step Solution
- Step 1: Write the proportion equation
233,769 : 507,390 = 507,390 : x - Step 2: Convert to fraction form
233,769/507,390 = 507,390/x - Step 3: Cross multiply
233,769x = 507,390 × 507,390 - Step 4: Simplify right side
233,769x = 257,444,612,100 - Step 5: Solve for x
x = 257,444,612,100/233,769 - Step 6: Final answer
x = 1,101,277.81
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.