Finding the Third Proportional to 231,824 and 507,982
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Solution
The third proportional to 231,824 and 507,982 is: 1,113,110.43
Step by Step Solution
- Step 1: Write the proportion equation
231,824 : 507,982 = 507,982 : x - Step 2: Convert to fraction form
231,824/507,982 = 507,982/x - Step 3: Cross multiply
231,824x = 507,982 × 507,982 - Step 4: Simplify right side
231,824x = 258,045,712,324 - Step 5: Solve for x
x = 258,045,712,324/231,824 - Step 6: Final answer
x = 1,113,110.43
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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.