Finding the Third Proportional to 260,064 and 400,896
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Solution
The third proportional to 260,064 and 400,896 is: 617,992.50
Step by Step Solution
- Step 1: Write the proportion equation
260,064 : 400,896 = 400,896 : x - Step 2: Convert to fraction form
260,064/400,896 = 400,896/x - Step 3: Cross multiply
260,064x = 400,896 × 400,896 - Step 4: Simplify right side
260,064x = 160,717,602,816 - Step 5: Solve for x
x = 160,717,602,816/260,064 - Step 6: Final answer
x = 617,992.50
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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.