Finding the Third Proportional to 224,443 and 480,413
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Solution
The third proportional to 224,443 and 480,413 is: 1,028,308.53
Step by Step Solution
- Step 1: Write the proportion equation
224,443 : 480,413 = 480,413 : x - Step 2: Convert to fraction form
224,443/480,413 = 480,413/x - Step 3: Cross multiply
224,443x = 480,413 × 480,413 - Step 4: Simplify right side
224,443x = 230,796,650,569 - Step 5: Solve for x
x = 230,796,650,569/224,443 - Step 6: Final answer
x = 1,028,308.53
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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.