Finding the Third Proportional to 257,008 and 556,920
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Solution
The third proportional to 257,008 and 556,920 is: 1,206,810.24
Step by Step Solution
- Step 1: Write the proportion equation
257,008 : 556,920 = 556,920 : x - Step 2: Convert to fraction form
257,008/556,920 = 556,920/x - Step 3: Cross multiply
257,008x = 556,920 × 556,920 - Step 4: Simplify right side
257,008x = 310,159,886,400 - Step 5: Solve for x
x = 310,159,886,400/257,008 - Step 6: Final answer
x = 1,206,810.24
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.