Finding the Third Proportional to 310,838 and 464,332
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Solution
The third proportional to 310,838 and 464,332 is: 693,622.42
Step by Step Solution
- Step 1: Write the proportion equation
310,838 : 464,332 = 464,332 : x - Step 2: Convert to fraction form
310,838/464,332 = 464,332/x - Step 3: Cross multiply
310,838x = 464,332 × 464,332 - Step 4: Simplify right side
310,838x = 215,604,206,224 - Step 5: Solve for x
x = 215,604,206,224/310,838 - Step 6: Final answer
x = 693,622.42
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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.