Finding the Third Proportional to 205,602 and 448,476
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Solution
The third proportional to 205,602 and 448,476 is: 978,252.75
Step by Step Solution
- Step 1: Write the proportion equation
205,602 : 448,476 = 448,476 : x - Step 2: Convert to fraction form
205,602/448,476 = 448,476/x - Step 3: Cross multiply
205,602x = 448,476 × 448,476 - Step 4: Simplify right side
205,602x = 201,130,722,576 - Step 5: Solve for x
x = 201,130,722,576/205,602 - Step 6: Final answer
x = 978,252.75
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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.