Finding the Third Proportional to 282,360.94 and 414,122.63
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Solution
The third proportional to 282,360.94 and 414,122.63 is: 607,369.95
Step by Step Solution
- Step 1: Write the proportion equation
282,360.94 : 414,122.63 = 414,122.63 : x - Step 2: Convert to fraction form
282,360.94/414,122.63 = 414,122.63/x - Step 3: Cross multiply
282,360.94x = 414,122.63 × 414,122.63 - Step 4: Simplify right side
282,360.94x = 171,497,548,536.89 - Step 5: Solve for x
x = 171,497,548,536.89/282,360.94 - Step 6: Final answer
x = 607,369.95
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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.