Finding the Third Proportional to 280,114 and 614,648
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Solution
The third proportional to 280,114 and 614,648 is: 1,348,708.61
Step by Step Solution
- Step 1: Write the proportion equation
280,114 : 614,648 = 614,648 : x - Step 2: Convert to fraction form
280,114/614,648 = 614,648/x - Step 3: Cross multiply
280,114x = 614,648 × 614,648 - Step 4: Simplify right side
280,114x = 377,792,163,904 - Step 5: Solve for x
x = 377,792,163,904/280,114 - Step 6: Final answer
x = 1,348,708.61
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.