Finding the Third Proportional to 301,026 and 658,023
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Solution
The third proportional to 301,026 and 658,023 is: 1,438,394.92
Step by Step Solution
- Step 1: Write the proportion equation
301,026 : 658,023 = 658,023 : x - Step 2: Convert to fraction form
301,026/658,023 = 658,023/x - Step 3: Cross multiply
301,026x = 658,023 × 658,023 - Step 4: Simplify right side
301,026x = 432,994,268,529 - Step 5: Solve for x
x = 432,994,268,529/301,026 - Step 6: Final answer
x = 1,438,394.92
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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.