Finding the Third Proportional to 496,870 and 702,392
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Solution
The third proportional to 496,870 and 702,392 is: 992,924.75
Step by Step Solution
- Step 1: Write the proportion equation
496,870 : 702,392 = 702,392 : x - Step 2: Convert to fraction form
496,870/702,392 = 702,392/x - Step 3: Cross multiply
496,870x = 702,392 × 702,392 - Step 4: Simplify right side
496,870x = 493,354,521,664 - Step 5: Solve for x
x = 493,354,521,664/496,870 - Step 6: Final answer
x = 992,924.75
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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.