Finding the Third Proportional to 259,133,462 and 397,361,283
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Solution
The third proportional to 259,133,462 and 397,361,283 is: 609,323,041.53
Step by Step Solution
- Step 1: Write the proportion equation
259,133,462 : 397,361,283 = 397,361,283 : x - Step 2: Convert to fraction form
259,133,462/397,361,283 = 397,361,283/x - Step 3: Cross multiply
259,133,462x = 397,361,283 × 397,361,283 - Step 4: Simplify right side
259,133,462x = 157,895,989,227,406,080 - Step 5: Solve for x
x = 157,895,989,227,406,080/259,133,462 - Step 6: Final answer
x = 609,323,041.53
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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.