Finding the Third Proportional to 472,221.14 and 531,270.14
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Solution
The third proportional to 472,221.14 and 531,270.14 is: 597,702.94
Step by Step Solution
- Step 1: Write the proportion equation
472,221.14 : 531,270.14 = 531,270.14 : x - Step 2: Convert to fraction form
472,221.14/531,270.14 = 531,270.14/x - Step 3: Cross multiply
472,221.14x = 531,270.14 × 531,270.14 - Step 4: Simplify right side
472,221.14x = 282,247,962,319.71 - Step 5: Solve for x
x = 282,247,962,319.71/472,221.14 - Step 6: Final answer
x = 597,702.94
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Why These Related Problems?
These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.