Finding the Third Proportional to 229,665 and 506,958
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Solution
The third proportional to 229,665 and 506,958 is: 1,119,049.11
Step by Step Solution
- Step 1: Write the proportion equation
229,665 : 506,958 = 506,958 : x - Step 2: Convert to fraction form
229,665/506,958 = 506,958/x - Step 3: Cross multiply
229,665x = 506,958 × 506,958 - Step 4: Simplify right side
229,665x = 257,006,413,764 - Step 5: Solve for x
x = 257,006,413,764/229,665 - Step 6: Final answer
x = 1,119,049.11
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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.