Finding the Third Proportional to 230,666 and 496,900
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Solution
The third proportional to 230,666 and 496,900 is: 1,070,420.48
Step by Step Solution
- Step 1: Write the proportion equation
230,666 : 496,900 = 496,900 : x - Step 2: Convert to fraction form
230,666/496,900 = 496,900/x - Step 3: Cross multiply
230,666x = 496,900 × 496,900 - Step 4: Simplify right side
230,666x = 246,909,610,000 - Step 5: Solve for x
x = 246,909,610,000/230,666 - Step 6: Final answer
x = 1,070,420.48
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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.