Finding the Third Proportional to 278 and 628.50
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Solution
The third proportional to 278 and 628.50 is: 1,420.91
Step by Step Solution
- Step 1: Write the proportion equation
278 : 628.50 = 628.50 : x - Step 2: Convert to fraction form
278/628.50 = 628.50/x - Step 3: Cross multiply
278x = 628.50 × 628.50 - Step 4: Simplify right side
278x = 395,012.25 - Step 5: Solve for x
x = 395,012.25/278 - Step 6: Final answer
x = 1,420.91
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These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.