Finding the Third Proportional to 317,401 and 430,584
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Solution
The third proportional to 317,401 and 430,584 is: 584,127.27
Step by Step Solution
- Step 1: Write the proportion equation
317,401 : 430,584 = 430,584 : x - Step 2: Convert to fraction form
317,401/430,584 = 430,584/x - Step 3: Cross multiply
317,401x = 430,584 × 430,584 - Step 4: Simplify right side
317,401x = 185,402,581,056 - Step 5: Solve for x
x = 185,402,581,056/317,401 - Step 6: Final answer
x = 584,127.27
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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.