Finding the Third Proportional to 219,306 and 469,748
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Solution
The third proportional to 219,306 and 469,748 is: 1,006,188.54
Step by Step Solution
- Step 1: Write the proportion equation
219,306 : 469,748 = 469,748 : x - Step 2: Convert to fraction form
219,306/469,748 = 469,748/x - Step 3: Cross multiply
219,306x = 469,748 × 469,748 - Step 4: Simplify right side
219,306x = 220,663,183,504 - Step 5: Solve for x
x = 220,663,183,504/219,306 - Step 6: Final answer
x = 1,006,188.54
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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.