Finding the Third Proportional to 269,206 and 566,316
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Solution
The third proportional to 269,206 and 566,316 is: 1,191,332.33
Step by Step Solution
- Step 1: Write the proportion equation
269,206 : 566,316 = 566,316 : x - Step 2: Convert to fraction form
269,206/566,316 = 566,316/x - Step 3: Cross multiply
269,206x = 566,316 × 566,316 - Step 4: Simplify right side
269,206x = 320,713,811,856 - Step 5: Solve for x
x = 320,713,811,856/269,206 - Step 6: Final answer
x = 1,191,332.33
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Why These Related Problems?
These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.