Finding the Third Proportional to 257,256 and 574,128
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Solution
The third proportional to 257,256 and 574,128 is: 1,281,303.29
Step by Step Solution
- Step 1: Write the proportion equation
257,256 : 574,128 = 574,128 : x - Step 2: Convert to fraction form
257,256/574,128 = 574,128/x - Step 3: Cross multiply
257,256x = 574,128 × 574,128 - Step 4: Simplify right side
257,256x = 329,622,960,384 - Step 5: Solve for x
x = 329,622,960,384/257,256 - Step 6: Final answer
x = 1,281,303.29
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Why These Related Problems?
These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.