Finding the Third Proportional to 200,490 and 417,513
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Solution
The third proportional to 200,490 and 417,513 is: 869,455.36
Step by Step Solution
- Step 1: Write the proportion equation
200,490 : 417,513 = 417,513 : x - Step 2: Convert to fraction form
200,490/417,513 = 417,513/x - Step 3: Cross multiply
200,490x = 417,513 × 417,513 - Step 4: Simplify right side
200,490x = 174,317,105,169 - Step 5: Solve for x
x = 174,317,105,169/200,490 - Step 6: Final answer
x = 869,455.36
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Why These Related Problems?
These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.