Finding the Third Proportional to 507 and 897
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Solution
The third proportional to 507 and 897 is: 1,587
Step by Step Solution
- Step 1: Write the proportion equation
507 : 897 = 897 : x - Step 2: Convert to fraction form
507/897 = 897/x - Step 3: Cross multiply
507x = 897 × 897 - Step 4: Simplify right side
507x = 804,609 - Step 5: Solve for x
x = 804,609/507 - Step 6: Final answer
x = 1,587
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Why These Related Problems?
These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.