Finding the Third Proportional to 233,574 and 512,364
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Solution
The third proportional to 233,574 and 512,364 is: 1,123,913.06
Step by Step Solution
- Step 1: Write the proportion equation
233,574 : 512,364 = 512,364 : x - Step 2: Convert to fraction form
233,574/512,364 = 512,364/x - Step 3: Cross multiply
233,574x = 512,364 × 512,364 - Step 4: Simplify right side
233,574x = 262,516,868,496 - Step 5: Solve for x
x = 262,516,868,496/233,574 - Step 6: Final answer
x = 1,123,913.06
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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.