Finding the Third Proportional to 232,896 and 499,032
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Solution
The third proportional to 232,896 and 499,032 is: 1,069,288.17
Step by Step Solution
- Step 1: Write the proportion equation
232,896 : 499,032 = 499,032 : x - Step 2: Convert to fraction form
232,896/499,032 = 499,032/x - Step 3: Cross multiply
232,896x = 499,032 × 499,032 - Step 4: Simplify right side
232,896x = 249,032,937,024 - Step 5: Solve for x
x = 249,032,937,024/232,896 - Step 6: Final answer
x = 1,069,288.17
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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.