Finding the Third Proportional to 507,846 and 743,075
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Solution
The third proportional to 507,846 and 743,075 is: 1,087,259.63
Step by Step Solution
- Step 1: Write the proportion equation
507,846 : 743,075 = 743,075 : x - Step 2: Convert to fraction form
507,846/743,075 = 743,075/x - Step 3: Cross multiply
507,846x = 743,075 × 743,075 - Step 4: Simplify right side
507,846x = 552,160,455,625 - Step 5: Solve for x
x = 552,160,455,625/507,846 - Step 6: Final answer
x = 1,087,259.63
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Why These Related Problems?
These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.