Finding the Third Proportional to 413,745.75 and 632,652.75
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Solution
The third proportional to 413,745.75 and 632,652.75 is: 967,380.33
Step by Step Solution
- Step 1: Write the proportion equation
413,745.75 : 632,652.75 = 632,652.75 : x - Step 2: Convert to fraction form
413,745.75/632,652.75 = 632,652.75/x - Step 3: Cross multiply
413,745.75x = 632,652.75 × 632,652.75 - Step 4: Simplify right side
413,745.75x = 400,249,502,082.56 - Step 5: Solve for x
x = 400,249,502,082.56/413,745.75 - Step 6: Final answer
x = 967,380.33
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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.