Finding the Third Proportional to 259,133,466 and 397,361,289
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Solution
The third proportional to 259,133,466 and 397,361,289 is: 609,323,050.52
Step by Step Solution
- Step 1: Write the proportion equation
259,133,466 : 397,361,289 = 397,361,289 : x - Step 2: Convert to fraction form
259,133,466/397,361,289 = 397,361,289/x - Step 3: Cross multiply
259,133,466x = 397,361,289 × 397,361,289 - Step 4: Simplify right side
259,133,466x = 157,895,993,995,741,536 - Step 5: Solve for x
x = 157,895,993,995,741,536/259,133,466 - Step 6: Final answer
x = 609,323,050.52
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Why These Related Problems?
These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.