Finding the Third Proportional to 507 and 800
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Solution
The third proportional to 507 and 800 is: 1,262.33
Step by Step Solution
- Step 1: Write the proportion equation
507 : 800 = 800 : x - Step 2: Convert to fraction form
507/800 = 800/x - Step 3: Cross multiply
507x = 800 × 800 - Step 4: Simplify right side
507x = 640,000 - Step 5: Solve for x
x = 640,000/507 - Step 6: Final answer
x = 1,262.33
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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.