Finding the Third Proportional to 270,617.63 and 412,305.75
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Solution
The third proportional to 270,617.63 and 412,305.75 is: 628,177.97
Step by Step Solution
- Step 1: Write the proportion equation
270,617.63 : 412,305.75 = 412,305.75 : x - Step 2: Convert to fraction form
270,617.63/412,305.75 = 412,305.75/x - Step 3: Cross multiply
270,617.63x = 412,305.75 × 412,305.75 - Step 4: Simplify right side
270,617.63x = 169,996,031,483.06 - Step 5: Solve for x
x = 169,996,031,483.06/270,617.63 - Step 6: Final answer
x = 628,177.97
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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.