Finding the Third Proportional to 713,460 and 978,336
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Solution
The third proportional to 713,460 and 978,336 is: 1,341,548.69
Step by Step Solution
- Step 1: Write the proportion equation
713,460 : 978,336 = 978,336 : x - Step 2: Convert to fraction form
713,460/978,336 = 978,336/x - Step 3: Cross multiply
713,460x = 978,336 × 978,336 - Step 4: Simplify right side
713,460x = 957,141,328,896 - Step 5: Solve for x
x = 957,141,328,896/713,460 - Step 6: Final answer
x = 1,341,548.69
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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.