Finding the Third Proportional to 388,406 and 830,780
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Solution
The third proportional to 388,406 and 830,780 is: 1,776,994.71
Step by Step Solution
- Step 1: Write the proportion equation
388,406 : 830,780 = 830,780 : x - Step 2: Convert to fraction form
388,406/830,780 = 830,780/x - Step 3: Cross multiply
388,406x = 830,780 × 830,780 - Step 4: Simplify right side
388,406x = 690,195,408,400 - Step 5: Solve for x
x = 690,195,408,400/388,406 - Step 6: Final answer
x = 1,776,994.71
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.