Finding the Third Proportional to 256,830 and 551,892
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Solution
The third proportional to 256,830 and 551,892 is: 1,185,939.26
Step by Step Solution
- Step 1: Write the proportion equation
256,830 : 551,892 = 551,892 : x - Step 2: Convert to fraction form
256,830/551,892 = 551,892/x - Step 3: Cross multiply
256,830x = 551,892 × 551,892 - Step 4: Simplify right side
256,830x = 304,584,779,664 - Step 5: Solve for x
x = 304,584,779,664/256,830 - Step 6: Final answer
x = 1,185,939.26
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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.