Finding the Third Proportional to 511,746,590.25 and 731,299,212.75
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Solution
The third proportional to 511,746,590.25 and 731,299,212.75 is: 1,045,045,631.49
Step by Step Solution
- Step 1: Write the proportion equation
511,746,590.25 : 731,299,212.75 = 731,299,212.75 : x - Step 2: Convert to fraction form
511,746,590.25/731,299,212.75 = 731,299,212.75/x - Step 3: Cross multiply
511,746,590.25x = 731,299,212.75 × 731,299,212.75 - Step 4: Simplify right side
511,746,590.25x = 534,798,538,568,769,792 - Step 5: Solve for x
x = 534,798,538,568,769,792/511,746,590.25 - Step 6: Final answer
x = 1,045,045,631.49
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.