Finding the Third Proportional to 497,740 and 768,612
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Solution
The third proportional to 497,740 and 768,612 is: 1,186,893.57
Step by Step Solution
- Step 1: Write the proportion equation
497,740 : 768,612 = 768,612 : x - Step 2: Convert to fraction form
497,740/768,612 = 768,612/x - Step 3: Cross multiply
497,740x = 768,612 × 768,612 - Step 4: Simplify right side
497,740x = 590,764,406,544 - Step 5: Solve for x
x = 590,764,406,544/497,740 - Step 6: Final answer
x = 1,186,893.57
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Why These Related Problems?
These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.