Finding the Third Proportional to 523,920 and 788,940
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Solution
The third proportional to 523,920 and 788,940 is: 1,188,017.87
Step by Step Solution
- Step 1: Write the proportion equation
523,920 : 788,940 = 788,940 : x - Step 2: Convert to fraction form
523,920/788,940 = 788,940/x - Step 3: Cross multiply
523,920x = 788,940 × 788,940 - Step 4: Simplify right side
523,920x = 622,426,323,600 - Step 5: Solve for x
x = 622,426,323,600/523,920 - Step 6: Final answer
x = 1,188,017.87
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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.