Finding the Third Proportional to 316,004 and 684,472
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Solution
The third proportional to 316,004 and 684,472 is: 1,482,582.24
Step by Step Solution
- Step 1: Write the proportion equation
316,004 : 684,472 = 684,472 : x - Step 2: Convert to fraction form
316,004/684,472 = 684,472/x - Step 3: Cross multiply
316,004x = 684,472 × 684,472 - Step 4: Simplify right side
316,004x = 468,501,918,784 - Step 5: Solve for x
x = 468,501,918,784/316,004 - Step 6: Final answer
x = 1,482,582.24
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.