Finding the Third Proportional to 280,266,594 and 654,829,245
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Solution
The third proportional to 280,266,594 and 654,829,245 is: 1,529,976,633.99
Step by Step Solution
- Step 1: Write the proportion equation
280,266,594 : 654,829,245 = 654,829,245 : x - Step 2: Convert to fraction form
280,266,594/654,829,245 = 654,829,245/x - Step 3: Cross multiply
280,266,594x = 654,829,245 × 654,829,245 - Step 4: Simplify right side
280,266,594x = 428,801,340,107,270,016 - Step 5: Solve for x
x = 428,801,340,107,270,016/280,266,594 - Step 6: Final answer
x = 1,529,976,633.99
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Why These Related Problems?
These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.