Finding the Third Proportional to 430 and 1,056
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Solution
The third proportional to 430 and 1,056 is: 2,593.34
Step by Step Solution
- Step 1: Write the proportion equation
430 : 1,056 = 1,056 : x - Step 2: Convert to fraction form
430/1,056 = 1,056/x - Step 3: Cross multiply
430x = 1,056 × 1,056 - Step 4: Simplify right side
430x = 1,115,136 - Step 5: Solve for x
x = 1,115,136/430 - Step 6: Final answer
x = 2,593.34
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Why These Related Problems?
These problems maintain the same ratio (2.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.