Finding the Third Proportional to 260,382 and 405,796
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Solution
The third proportional to 260,382 and 405,796 is: 632,418.50
Step by Step Solution
- Step 1: Write the proportion equation
260,382 : 405,796 = 405,796 : x - Step 2: Convert to fraction form
260,382/405,796 = 405,796/x - Step 3: Cross multiply
260,382x = 405,796 × 405,796 - Step 4: Simplify right side
260,382x = 164,670,393,616 - Step 5: Solve for x
x = 164,670,393,616/260,382 - Step 6: Final answer
x = 632,418.50
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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.