Finding the Third Proportional to 284,475 and 607,830
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Solution
The third proportional to 284,475 and 607,830 is: 1,298,733.84
Step by Step Solution
- Step 1: Write the proportion equation
284,475 : 607,830 = 607,830 : x - Step 2: Convert to fraction form
284,475/607,830 = 607,830/x - Step 3: Cross multiply
284,475x = 607,830 × 607,830 - Step 4: Simplify right side
284,475x = 369,457,308,900 - Step 5: Solve for x
x = 369,457,308,900/284,475 - Step 6: Final answer
x = 1,298,733.84
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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.