Finding the Third Proportional to 262,413 and 417,754
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Solution
The third proportional to 262,413 and 417,754 is: 665,052.43
Step by Step Solution
- Step 1: Write the proportion equation
262,413 : 417,754 = 417,754 : x - Step 2: Convert to fraction form
262,413/417,754 = 417,754/x - Step 3: Cross multiply
262,413x = 417,754 × 417,754 - Step 4: Simplify right side
262,413x = 174,518,404,516 - Step 5: Solve for x
x = 174,518,404,516/262,413 - Step 6: Final answer
x = 665,052.43
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Why These Related Problems?
These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.