Finding the Third Proportional to 387,200 and 830,426
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Solution
The third proportional to 387,200 and 830,426 is: 1,781,010.70
Step by Step Solution
- Step 1: Write the proportion equation
387,200 : 830,426 = 830,426 : x - Step 2: Convert to fraction form
387,200/830,426 = 830,426/x - Step 3: Cross multiply
387,200x = 830,426 × 830,426 - Step 4: Simplify right side
387,200x = 689,607,341,476 - Step 5: Solve for x
x = 689,607,341,476/387,200 - Step 6: Final answer
x = 1,781,010.70
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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.