Finding the Third Proportional to 306,230 and 447,249
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Solution
The third proportional to 306,230 and 447,249 is: 653,207.29
Step by Step Solution
- Step 1: Write the proportion equation
306,230 : 447,249 = 447,249 : x - Step 2: Convert to fraction form
306,230/447,249 = 447,249/x - Step 3: Cross multiply
306,230x = 447,249 × 447,249 - Step 4: Simplify right side
306,230x = 200,031,668,001 - Step 5: Solve for x
x = 200,031,668,001/306,230 - Step 6: Final answer
x = 653,207.29
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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.