Finding the Third Proportional to 224,476 and 498,778
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Solution
The third proportional to 224,476 and 498,778 is: 1,108,267.67
Step by Step Solution
- Step 1: Write the proportion equation
224,476 : 498,778 = 498,778 : x - Step 2: Convert to fraction form
224,476/498,778 = 498,778/x - Step 3: Cross multiply
224,476x = 498,778 × 498,778 - Step 4: Simplify right side
224,476x = 248,779,493,284 - Step 5: Solve for x
x = 248,779,493,284/224,476 - Step 6: Final answer
x = 1,108,267.67
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Why These Related Problems?
These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.