Finding the Third Proportional to 269,776 and 590,948
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Solution
The third proportional to 269,776 and 590,948 is: 1,294,479.64
Step by Step Solution
- Step 1: Write the proportion equation
269,776 : 590,948 = 590,948 : x - Step 2: Convert to fraction form
269,776/590,948 = 590,948/x - Step 3: Cross multiply
269,776x = 590,948 × 590,948 - Step 4: Simplify right side
269,776x = 349,219,538,704 - Step 5: Solve for x
x = 349,219,538,704/269,776 - Step 6: Final answer
x = 1,294,479.64
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.