Finding the Third Proportional to 380,298 and 584,596
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Solution
The third proportional to 380,298 and 584,596 is: 898,643.91
Step by Step Solution
- Step 1: Write the proportion equation
380,298 : 584,596 = 584,596 : x - Step 2: Convert to fraction form
380,298/584,596 = 584,596/x - Step 3: Cross multiply
380,298x = 584,596 × 584,596 - Step 4: Simplify right side
380,298x = 341,752,483,216 - Step 5: Solve for x
x = 341,752,483,216/380,298 - Step 6: Final answer
x = 898,643.91
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Why These Related Problems?
These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.