Finding the Third Proportional to 230,971.75 and 493,862.75
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Solution
The third proportional to 230,971.75 and 493,862.75 is: 1,055,975.10
Step by Step Solution
- Step 1: Write the proportion equation
230,971.75 : 493,862.75 = 493,862.75 : x - Step 2: Convert to fraction form
230,971.75/493,862.75 = 493,862.75/x - Step 3: Cross multiply
230,971.75x = 493,862.75 × 493,862.75 - Step 4: Simplify right side
230,971.75x = 243,900,415,837.56 - Step 5: Solve for x
x = 243,900,415,837.56/230,971.75 - Step 6: Final answer
x = 1,055,975.10
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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.