Finding the Third Proportional to 320,523 and 498,282
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Solution
The third proportional to 320,523 and 498,282 is: 774,624.45
Step by Step Solution
- Step 1: Write the proportion equation
320,523 : 498,282 = 498,282 : x - Step 2: Convert to fraction form
320,523/498,282 = 498,282/x - Step 3: Cross multiply
320,523x = 498,282 × 498,282 - Step 4: Simplify right side
320,523x = 248,284,951,524 - Step 5: Solve for x
x = 248,284,951,524/320,523 - Step 6: Final answer
x = 774,624.45
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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.