Finding the Third Proportional to 314,620.13 and 471,964.13
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Solution
The third proportional to 314,620.13 and 471,964.13 is: 707,997.10
Step by Step Solution
- Step 1: Write the proportion equation
314,620.13 : 471,964.13 = 471,964.13 : x - Step 2: Convert to fraction form
314,620.13/471,964.13 = 471,964.13/x - Step 3: Cross multiply
314,620.13x = 471,964.13 × 471,964.13 - Step 4: Simplify right side
314,620.13x = 222,750,135,287.02 - Step 5: Solve for x
x = 222,750,135,287.02/314,620.13 - Step 6: Final answer
x = 707,997.10
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.