Finding the Third Proportional to 713,514 and 978,415
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Solution
The third proportional to 713,514 and 978,415 is: 1,341,663.81
Step by Step Solution
- Step 1: Write the proportion equation
713,514 : 978,415 = 978,415 : x - Step 2: Convert to fraction form
713,514/978,415 = 978,415/x - Step 3: Cross multiply
713,514x = 978,415 × 978,415 - Step 4: Simplify right side
713,514x = 957,295,912,225 - Step 5: Solve for x
x = 957,295,912,225/713,514 - Step 6: Final answer
x = 1,341,663.81
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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.