Finding the Third Proportional to 284,911 and 442,907
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Solution
The third proportional to 284,911 and 442,907 is: 688,518.91
Step by Step Solution
- Step 1: Write the proportion equation
284,911 : 442,907 = 442,907 : x - Step 2: Convert to fraction form
284,911/442,907 = 442,907/x - Step 3: Cross multiply
284,911x = 442,907 × 442,907 - Step 4: Simplify right side
284,911x = 196,166,610,649 - Step 5: Solve for x
x = 196,166,610,649/284,911 - Step 6: Final answer
x = 688,518.91
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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.