Finding the Third Proportional to 219,942 and 470,988
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Solution
The third proportional to 219,942 and 470,988 is: 1,008,582.70
Step by Step Solution
- Step 1: Write the proportion equation
219,942 : 470,988 = 470,988 : x - Step 2: Convert to fraction form
219,942/470,988 = 470,988/x - Step 3: Cross multiply
219,942x = 470,988 × 470,988 - Step 4: Simplify right side
219,942x = 221,829,696,144 - Step 5: Solve for x
x = 221,829,696,144/219,942 - Step 6: Final answer
x = 1,008,582.70
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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.