Finding the Third Proportional to 257,098 and 526,724
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Solution
The third proportional to 257,098 and 526,724 is: 1,079,114.47
Step by Step Solution
- Step 1: Write the proportion equation
257,098 : 526,724 = 526,724 : x - Step 2: Convert to fraction form
257,098/526,724 = 526,724/x - Step 3: Cross multiply
257,098x = 526,724 × 526,724 - Step 4: Simplify right side
257,098x = 277,438,172,176 - Step 5: Solve for x
x = 277,438,172,176/257,098 - Step 6: Final answer
x = 1,079,114.47
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Why These Related Problems?
These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.