Finding the Third Proportional to 260,707,720 and 566,255,782
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Solution
The third proportional to 260,707,720 and 566,255,782 is: 1,229,904,548.47
Step by Step Solution
- Step 1: Write the proportion equation
260,707,720 : 566,255,782 = 566,255,782 : x - Step 2: Convert to fraction form
260,707,720/566,255,782 = 566,255,782/x - Step 3: Cross multiply
260,707,720x = 566,255,782 × 566,255,782 - Step 4: Simplify right side
260,707,720x = 320,645,610,648,431,552 - Step 5: Solve for x
x = 320,645,610,648,431,552/260,707,720 - Step 6: Final answer
x = 1,229,904,548.47
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.