Finding the Third Proportional to 650,898 and 978,230
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Solution
The third proportional to 650,898 and 978,230 is: 1,470,174.95
Step by Step Solution
- Step 1: Write the proportion equation
650,898 : 978,230 = 978,230 : x - Step 2: Convert to fraction form
650,898/978,230 = 978,230/x - Step 3: Cross multiply
650,898x = 978,230 × 978,230 - Step 4: Simplify right side
650,898x = 956,933,932,900 - Step 5: Solve for x
x = 956,933,932,900/650,898 - Step 6: Final answer
x = 1,470,174.95
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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.