Finding the Third Proportional to 409,258 and 867,188
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Solution
The third proportional to 409,258 and 867,188 is: 1,837,508.44
Step by Step Solution
- Step 1: Write the proportion equation
409,258 : 867,188 = 867,188 : x - Step 2: Convert to fraction form
409,258/867,188 = 867,188/x - Step 3: Cross multiply
409,258x = 867,188 × 867,188 - Step 4: Simplify right side
409,258x = 752,015,027,344 - Step 5: Solve for x
x = 752,015,027,344/409,258 - Step 6: Final answer
x = 1,837,508.44
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Why These Related Problems?
These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.