Finding the Third Proportional to 233,073 and 499,383
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Solution
The third proportional to 233,073 and 499,383 is: 1,069,979.71
Step by Step Solution
- Step 1: Write the proportion equation
233,073 : 499,383 = 499,383 : x - Step 2: Convert to fraction form
233,073/499,383 = 499,383/x - Step 3: Cross multiply
233,073x = 499,383 × 499,383 - Step 4: Simplify right side
233,073x = 249,383,380,689 - Step 5: Solve for x
x = 249,383,380,689/233,073 - Step 6: Final answer
x = 1,069,979.71
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.