Finding the Third Proportional to 214,534 and 457,556
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Solution
The third proportional to 214,534 and 457,556 is: 975,870.93
Step by Step Solution
- Step 1: Write the proportion equation
214,534 : 457,556 = 457,556 : x - Step 2: Convert to fraction form
214,534/457,556 = 457,556/x - Step 3: Cross multiply
214,534x = 457,556 × 457,556 - Step 4: Simplify right side
214,534x = 209,357,493,136 - Step 5: Solve for x
x = 209,357,493,136/214,534 - Step 6: Final answer
x = 975,870.93
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Why These Related Problems?
These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.