Finding the Third Proportional to 210,468 and 461,683
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Solution
The third proportional to 210,468 and 461,683 is: 1,012,748.70
Step by Step Solution
- Step 1: Write the proportion equation
210,468 : 461,683 = 461,683 : x - Step 2: Convert to fraction form
210,468/461,683 = 461,683/x - Step 3: Cross multiply
210,468x = 461,683 × 461,683 - Step 4: Simplify right side
210,468x = 213,151,192,489 - Step 5: Solve for x
x = 213,151,192,489/210,468 - Step 6: Final answer
x = 1,012,748.70
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.