Finding the Third Proportional to 310,903 and 645,178
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Solution
The third proportional to 310,903 and 645,178 is: 1,338,856.98
Step by Step Solution
- Step 1: Write the proportion equation
310,903 : 645,178 = 645,178 : x - Step 2: Convert to fraction form
310,903/645,178 = 645,178/x - Step 3: Cross multiply
310,903x = 645,178 × 645,178 - Step 4: Simplify right side
310,903x = 416,254,651,684 - Step 5: Solve for x
x = 416,254,651,684/310,903 - Step 6: Final answer
x = 1,338,856.98
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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.