Finding the Third Proportional to 345,024 and 707,259
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Solution
The third proportional to 345,024 and 707,259 is: 1,449,798.54
Step by Step Solution
- Step 1: Write the proportion equation
345,024 : 707,259 = 707,259 : x - Step 2: Convert to fraction form
345,024/707,259 = 707,259/x - Step 3: Cross multiply
345,024x = 707,259 × 707,259 - Step 4: Simplify right side
345,024x = 500,215,293,081 - Step 5: Solve for x
x = 500,215,293,081/345,024 - Step 6: Final answer
x = 1,449,798.54
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Why These Related Problems?
These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.