Finding the Third Proportional to 270,024 and 590,904
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Solution
The third proportional to 270,024 and 590,904 is: 1,293,098.16
Step by Step Solution
- Step 1: Write the proportion equation
270,024 : 590,904 = 590,904 : x - Step 2: Convert to fraction form
270,024/590,904 = 590,904/x - Step 3: Cross multiply
270,024x = 590,904 × 590,904 - Step 4: Simplify right side
270,024x = 349,167,537,216 - Step 5: Solve for x
x = 349,167,537,216/270,024 - Step 6: Final answer
x = 1,293,098.16
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.