Finding the Third Proportional to 306,957,331.69 and 471,820,418.44
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Solution
The third proportional to 306,957,331.69 and 471,820,418.44 is: 725,229,483.95
Step by Step Solution
- Step 1: Write the proportion equation
306,957,331.69 : 471,820,418.44 = 471,820,418.44 : x - Step 2: Convert to fraction form
306,957,331.69/471,820,418.44 = 471,820,418.44/x - Step 3: Cross multiply
306,957,331.69x = 471,820,418.44 × 471,820,418.44 - Step 4: Simplify right side
306,957,331.69x = 222,614,507,254,537,600 - Step 5: Solve for x
x = 222,614,507,254,537,600/306,957,331.69 - Step 6: Final answer
x = 725,229,483.95
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Why These Related Problems?
These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.