Finding the Third Proportional to 232,902 and 499,008
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Solution
The third proportional to 232,902 and 499,008 is: 1,069,157.77
Step by Step Solution
- Step 1: Write the proportion equation
232,902 : 499,008 = 499,008 : x - Step 2: Convert to fraction form
232,902/499,008 = 499,008/x - Step 3: Cross multiply
232,902x = 499,008 × 499,008 - Step 4: Simplify right side
232,902x = 249,008,984,064 - Step 5: Solve for x
x = 249,008,984,064/232,902 - Step 6: Final answer
x = 1,069,157.77
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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.