Finding the Third Proportional to 415,952 and 851,570
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Solution
The third proportional to 415,952 and 851,570 is: 1,743,401.80
Step by Step Solution
- Step 1: Write the proportion equation
415,952 : 851,570 = 851,570 : x - Step 2: Convert to fraction form
415,952/851,570 = 851,570/x - Step 3: Cross multiply
415,952x = 851,570 × 851,570 - Step 4: Simplify right side
415,952x = 725,171,464,900 - Step 5: Solve for x
x = 725,171,464,900/415,952 - Step 6: Final answer
x = 1,743,401.80
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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.