Finding the Third Proportional to 327,784 and 708,056
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Solution
The third proportional to 327,784 and 708,056 is: 1,529,492.90
Step by Step Solution
- Step 1: Write the proportion equation
327,784 : 708,056 = 708,056 : x - Step 2: Convert to fraction form
327,784/708,056 = 708,056/x - Step 3: Cross multiply
327,784x = 708,056 × 708,056 - Step 4: Simplify right side
327,784x = 501,343,299,136 - Step 5: Solve for x
x = 501,343,299,136/327,784 - Step 6: Final answer
x = 1,529,492.90
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.