Finding the Third Proportional to 217,130 and 478,434
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Solution
The third proportional to 217,130 and 478,434 is: 1,054,202.98
Step by Step Solution
- Step 1: Write the proportion equation
217,130 : 478,434 = 478,434 : x - Step 2: Convert to fraction form
217,130/478,434 = 478,434/x - Step 3: Cross multiply
217,130x = 478,434 × 478,434 - Step 4: Simplify right side
217,130x = 228,899,092,356 - Step 5: Solve for x
x = 228,899,092,356/217,130 - Step 6: Final answer
x = 1,054,202.98
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Why These Related Problems?
These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.