Finding the Third Proportional to 219,744 and 470,592
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Solution
The third proportional to 219,744 and 470,592 is: 1,007,794.66
Step by Step Solution
- Step 1: Write the proportion equation
219,744 : 470,592 = 470,592 : x - Step 2: Convert to fraction form
219,744/470,592 = 470,592/x - Step 3: Cross multiply
219,744x = 470,592 × 470,592 - Step 4: Simplify right side
219,744x = 221,456,830,464 - Step 5: Solve for x
x = 221,456,830,464/219,744 - Step 6: Final answer
x = 1,007,794.66
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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.