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Finding the Third Proportional to 311,704 and 671,082

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Solution

The third proportional to 311,704 and 671,082 is: 1,444,803.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,704 : 671,082 = 671,082 : x
  2. Step 2: Convert to fraction form
    311,704/671,082 = 671,082/x
  3. Step 3: Cross multiply
    311,704x = 671,082 × 671,082
  4. Step 4: Simplify right side
    311,704x = 450,351,050,724
  5. Step 5: Solve for x
    x = 450,351,050,724/311,704
  6. Step 6: Final answer
    x = 1,444,803.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.