Finding the Third Proportional to 260,460,311.25 and 542,355,408.75
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Solution
The third proportional to 260,460,311.25 and 542,355,408.75 is: 1,129,344,382.60
Step by Step Solution
- Step 1: Write the proportion equation
260,460,311.25 : 542,355,408.75 = 542,355,408.75 : x - Step 2: Convert to fraction form
260,460,311.25/542,355,408.75 = 542,355,408.75/x - Step 3: Cross multiply
260,460,311.25x = 542,355,408.75 × 542,355,408.75 - Step 4: Simplify right side
260,460,311.25x = 294,149,389,400,379,584 - Step 5: Solve for x
x = 294,149,389,400,379,584/260,460,311.25 - Step 6: Final answer
x = 1,129,344,382.60
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Why These Related Problems?
These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.