Finding the Third Proportional to 328,826 and 493,283
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Solution
The third proportional to 328,826 and 493,283 is: 739,990.51
Step by Step Solution
- Step 1: Write the proportion equation
328,826 : 493,283 = 493,283 : x - Step 2: Convert to fraction form
328,826/493,283 = 493,283/x - Step 3: Cross multiply
328,826x = 493,283 × 493,283 - Step 4: Simplify right side
328,826x = 243,328,118,089 - Step 5: Solve for x
x = 243,328,118,089/328,826 - Step 6: Final answer
x = 739,990.51
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.