Finding the Third Proportional to 260,959,968 and 414,582,866
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Solution
The third proportional to 260,959,968 and 414,582,866 is: 658,641,070.88
Step by Step Solution
- Step 1: Write the proportion equation
260,959,968 : 414,582,866 = 414,582,866 : x - Step 2: Convert to fraction form
260,959,968/414,582,866 = 414,582,866/x - Step 3: Cross multiply
260,959,968x = 414,582,866 × 414,582,866 - Step 4: Simplify right side
260,959,968x = 171,878,952,780,773,952 - Step 5: Solve for x
x = 171,878,952,780,773,952/260,959,968 - Step 6: Final answer
x = 658,641,070.88
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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.