Finding the Third Proportional to 287,040 and 448,002
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Solution
The third proportional to 287,040 and 448,002 is: 699,225.86
Step by Step Solution
- Step 1: Write the proportion equation
287,040 : 448,002 = 448,002 : x - Step 2: Convert to fraction form
287,040/448,002 = 448,002/x - Step 3: Cross multiply
287,040x = 448,002 × 448,002 - Step 4: Simplify right side
287,040x = 200,705,792,004 - Step 5: Solve for x
x = 200,705,792,004/287,040 - Step 6: Final answer
x = 699,225.86
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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.