Finding the Third Proportional to 320,420,694 and 657,827,724
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Solution
The third proportional to 320,420,694 and 657,827,724 is: 1,350,528,609.94
Step by Step Solution
- Step 1: Write the proportion equation
320,420,694 : 657,827,724 = 657,827,724 : x - Step 2: Convert to fraction form
320,420,694/657,827,724 = 657,827,724/x - Step 3: Cross multiply
320,420,694x = 657,827,724 × 657,827,724 - Step 4: Simplify right side
320,420,694x = 432,737,314,463,020,160 - Step 5: Solve for x
x = 432,737,314,463,020,160/320,420,694 - Step 6: Final answer
x = 1,350,528,609.94
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Why These Related Problems?
These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.