Finding the Third Proportional to 417 and 646.50
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Solution
The third proportional to 417 and 646.50 is: 1,002.31
Step by Step Solution
- Step 1: Write the proportion equation
417 : 646.50 = 646.50 : x - Step 2: Convert to fraction form
417/646.50 = 646.50/x - Step 3: Cross multiply
417x = 646.50 × 646.50 - Step 4: Simplify right side
417x = 417,962.25 - Step 5: Solve for x
x = 417,962.25/417 - Step 6: Final answer
x = 1,002.31
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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.