Finding the Third Proportional to 256,526 and 565,576
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Solution
The third proportional to 256,526 and 565,576 is: 1,246,954.35
Step by Step Solution
- Step 1: Write the proportion equation
256,526 : 565,576 = 565,576 : x - Step 2: Convert to fraction form
256,526/565,576 = 565,576/x - Step 3: Cross multiply
256,526x = 565,576 × 565,576 - Step 4: Simplify right side
256,526x = 319,876,211,776 - Step 5: Solve for x
x = 319,876,211,776/256,526 - Step 6: Final answer
x = 1,246,954.35
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Why These Related Problems?
These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.