Finding the Third Proportional to 506,376 and 761,204
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Solution
The third proportional to 506,376 and 761,204 is: 1,144,271.31
Step by Step Solution
- Step 1: Write the proportion equation
506,376 : 761,204 = 761,204 : x - Step 2: Convert to fraction form
506,376/761,204 = 761,204/x - Step 3: Cross multiply
506,376x = 761,204 × 761,204 - Step 4: Simplify right side
506,376x = 579,431,529,616 - Step 5: Solve for x
x = 579,431,529,616/506,376 - Step 6: Final answer
x = 1,144,271.31
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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.