Finding the Third Proportional to 509 and 583
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Solution
The third proportional to 509 and 583 is: 667.76
Step by Step Solution
- Step 1: Write the proportion equation
509 : 583 = 583 : x - Step 2: Convert to fraction form
509/583 = 583/x - Step 3: Cross multiply
509x = 583 × 583 - Step 4: Simplify right side
509x = 339,889 - Step 5: Solve for x
x = 339,889/509 - Step 6: Final answer
x = 667.76
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These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.